Comparing Numbers — Symbols & Examples

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Explanations 3

(Video) Linear Inequalities by mathman1024 Here's a video by mathman1024 where he explains what the symbols used in inequalities means, and shows some examples of them. These sy…
By Alex Federspiel, Sarah Walker, Amy Feraco, Caroline K, Joshua Siktar
Inequality Symbols\large{\text{Inequality Symbols}}Inequality Symbols Less Than The symbol for less than is <<<. a<b says that a is less than ba < b \text{ says that } a \text{ …
By Eunji Kwon, Alex Federspiel, Caroline K, Joshua Siktar
Inequalities\large{\text{Inequalities}}Inequalities Here are the four main inequality symbols we see in math. It's easy to get their definitions mixed up so read them carefully.…
By Zora Gilbert, Joshua Siktar

Problems 165

Select all values that satisfy the inequality x>2x>2x>2.
Compare the expressions (∣−3∣+∣−5∣−7)(|-3|+|-5|-7)(∣−3∣+∣−5∣−7) and ∣−3−5+7∣|-3-5+7|∣−3−5+7∣.
Which symbols make the statement true? 4 >‾ 14\,\underline{\phantom{>}}\,14>1
Let AAA be the number of days in the week. Let BBB be the number of months in a year. Let CCC be the number of sides on a stop sign (an octagon). Mark all inequalities below tha…
What symbol should we use to state that there are at least 444 cookies left in the box?
You are given the inequality x<yx<yx<y. Which inequality below relates the negatives, −x-x−x and −y-y−y, of the two sides?
Which signs make the statement true? −1 >‾ −1.001-1\,\underline{\phantom{>}}\,-1.001−1>−1.001
John has at most 101010 dollars in his piggy bank. What does this look like as an inequality?
−16-16−16 is __ −17-17−17
Using <<<, >>>, or ===, compare 666 and 222.
Using <<<, >>>, or ===, compare −4-4−4 and −7-7−7.
Using <<<, >>>, or ===, compare and (12 +110 )(\frac{1}{2}\ +\frac{1}{10}\ )(21 +101 ).
Using <<<, >>>, or ===, compare 13x13x13x and 16x16x16x if x<0x<0x<0.
Using <<<, >>>, or ===, compare (42−13)(4^2-13)(42−13) and (24−13)(2^4-13)(24−13).
Using <<<, >>>, or ===, compare (52−10)(5^2-10)(52−10) and (25−10)(2^5-10)(25−10).
Using <<<, >>>, or ===, compare ∣5−3∣|5-3|∣5−3∣ and ∣3−5∣|3-5|∣3−5∣.
Select every value of xxx below that satisfies the inequality x<3x<3x<3.
Which value is less than -4?
True or False\text{True or False}True or False === 1x <x\frac{1}{x}\ <xx1 <x for any xxx where xxx is any natural number.
Which value is less than 12?
Select all values of xxx below that satisfy the inequality x≤5x\leq5x≤5.
Which value is less than or equal to -7?
True or False\text{True or False}True or False === 1x ≤x\frac{1}{x}\ \leq xx1 ≤x for any xxx where xxx is a natural number.
Select the symbols that satisfy ∣−12∣ ? ∣12∣|-12|\ ?\ |12|∣−12∣ ? ∣12∣.
Which value is less than or equal to -13?
True or False\text{True or False}True or False === x2>xx^2>xx2>x for all integers xxx.
Select the value of xxx that would satisfy the inequality x≥8x\geq8x≥8.
Select the number greater than or equal to -6.
True or False\text{True or False}True or False === x2≥xx^2\geq xx2≥x for all integers xxx.
Select the numbers greater than or equal to 10.
At the very least, how much bigger must yyy be than xxx in order to satisfy the inequality y≥x+3y \ge x + 3y≥x+3?
Complete the inequality (with <<<, >>>, or ===): 157 000‾ 247\frac{15}{7}\,\underline{\phantom{000}}\,{2}\frac{4}{7}715000274
Find the relationship between 104\frac{10}{4}410 and 188\frac{18}{8}818?
Find the relationship between 7100\frac{7}{100}1007 and 250\frac{2}{50}502
Which of the following inequalities is false?
What do we call numbers that satisfy an inequality?
Which symbol makes the statement true? −5 <‾ −5-5\,\underline{\phantom{<}}\,-5−5<−5
You don't know exactly how many dollars you have in your wallet, but you know that you have at least 10\1010 and less than 20\2020. If ddd represents dollars, which inequality d…
You don't know exactly how many sandwiches you need to order for a luncheon, but you know that you need more than 151515 and no more than 303030. If sss represents sandwiches, w…
You estimate that an auditorium has at least 1,0001,0001,000 people in it, but there are only enough chairs for 1,5001,5001,500. If variable ppp represents the number of people,…
"No more than x" translates to which inequality sign?
"At least x" translates to which inequality sign?
Select all the translations of <x< x<x.
Select all the translations of >x> x>x.
Which symbol is used to represent greater than or equal to?
Which symbol is used to represent less than or equal to?
Select all the translations of ≤x.\leq x.≤x.
Select all the translations of ≥x.\geq x.≥x.
If x≥3x \geq 3x≥3, what is the smallest whole number that xxx can equal?
If x<−2x < -2x<−2, what is the largest whole number that xxx can equal?
Fill in the missing inequality with the most specific symbol possible: 5 >‾ 25\,\underline{\phantom{>}}\,25>2
Which of the following inequality statements are true?
The main difference between an equation/equality and an inequality is that inequalities usually have ______.
You are at a fruit farm and you are allowed to pick 303030 oranges per day. You have already picked 131313. Which inequality represents the possible number of oranges you can st…
The current temperature is 808080 degrees. The heater won't turn on unless the temperature is 606060 degrees or less. Which of the following inequalities represents the value of…
Jess can type at least 606060 words per minute. Write an inequality representing this situation.
While planning, Robert writes down the inequality 8w+6x≥1508w+6x \geq 1508w+6x≥150 to see whether he has enough tables to seat all the guests. Which of the following represents …
Select all the symbols that satisfy (5−4)?∣4−−5∣(5-4) {?} |4--5|(5−4)?∣4−−5∣.
Select all options that xxx is less than or equal to if x≤4+5×−2x \leq 4+5 \times -2x≤4+5×−2
Which of the following symbols satisfy (8−9)?(9−8)(8-9) ? (9-8)(8−9)?(9−8)
Select all of the following that satisfy x<∣−4∣x<|-4|x<∣−4∣
If x>5x>5x>5, select all the options that are less that xxx.
Select all the symbols that satisfy (7−6) ? (6−7)(7-6)\ ?\ (6-7)(7−6) ? (6−7).
If x<3x<3x<3, select all options that are greater than or equal to xxx.
Select the symbol that satisfies: ∣4∣?∣−3∣|4| ? |-3|∣4∣?∣−3∣.
If x<10x<10x<10, which of the following are definitely greater than xxx?
If x>5x>5x>5, which numbers could be greater than xxx?
If x>yx>yx>y, which of the following symbols could satisfy y _ xy\,\,\_\,\,xy_x?
Which of the following symbols satisfy: 35 0?0‾ 27\frac{3}{5}\,\,\underline{\phantom{0}?\phantom{0}}\,\,\frac{2}{7}530?072 Select all that apply.
Let aaa and bbb be positive numbers where a<ba<ba<b. Suppose a−b=ca-b=ca−b=c. Is ccc positive or negative?
Use <,>,<,>,<,>, or === to express the relationship between 12 and 4.
Select the numbers that satisfy x>42x>42x>42.
Select all the numbers that satisfy x>−24x>-24x>−24.
Select the numbers that satisfy x>−44x>-44x>−44.
Select the numbers that satisfy x>78x>78x>78.
Select the values that satisfy −50<x-50<x−50<x
Select the values that satisfy x>−66x>-66x>−66.
Select the values which satisfy x>−68x>-68x>−68.
Select the values which satisfy x>52x>52x>52.
Use <,>,<,>,<,>, or === to express the relationship between 79 and -38.
Use <,>,<,>,<,>, or === to express the relationship between -34 and -48.
True or False\text{True or False}True or False === x>yx>yx>y and y<xy<xy<x mean the same thing.
How many solution are there to the inequality x>−74x>-74x>−74?
Select all the numbers which satisfy x≥−20x\ge-20x≥−20.
Select the symbols that can be used to describe the relationship between 18 and 3×63\times63×6.
Select all the numbers which satisfy x≥−91x\ge-91x≥−91.
What inequality is being represented?
What inequality is being represented?
Let xxx be the number of Legos that Makenna owns and yyy be the number that Kayden owns. Makenna and Kayden both purchased the same amount on the same day but Kayden thinks she …
Select the values that would satisfy x≥−5x\ge-5x≥−5.
Place in the numbers 7, -1, and 52\frac5225 so they satisfy ?≥?≥?\boxed{\text{?}}\ge\boxed{\text{?}}\ge\boxed{\text{?}}?≥?≥?
Place in the numbers −10.53,9.29-10.53, 9.29−10.53,9.29, and 9.89.89.8 so they satisfy ?≥?≥?\boxed{\text{?}}\ge\boxed{\text{?}}\ge\boxed{\text{?}}?≥?≥?
Place in the numbers 8.3,−8,8.3, -8,8.3,−8, and −4.6-4.6−4.6 so they satisfy ?≥?≥?\boxed{\text{?}}\ge\boxed{\text{?}}\ge\boxed{\text{?}}?≥?≥?
What inequality is being represented?
What numbers are encompassed here?
Which expression satisfies x≥5x\ge 5x≥5?
Select the values that satisfy x<10x<10x<10.
Select the values that satisfy x<−14x<-14x<−14.
Select the values that satisfy x<−6x<-6x<−6.
Use <, >, or = to compare -74 and 22.
Use <, >, or = to compare -73 and -63.
Use <, >, or = to compare -14.01 and -14.
Compare the numbers.
True or False\text{True or False}True or False === x−y<y−xx-y<y-xx−y<y−x
What symbol is best used to compare the number of days in the week versus the number of planets?
What would the "less than" inequality look like on a number line?
Compare the numbers.
True or False\text{True or False}True or False === If a<ca<ca<c then ab<bcab<bcab<bc.
Select the values that satisfy x<24x<24x<24.
Beatrice and Vivian work on their math homework together and finish the first half. Beatrice has to go to dinner and won't get to work anymore tonight. Vivian says she's going t…
Place in the numbers −7.5-7.5−7.5, −212-\frac{21}2−221, and −7.5+−2122\frac{-7.5+-\frac{21}2}{2}2−7.5+−221 so they satisfy: ?≤?≤?\boxed{\text{?}}\le\boxed{\text{?}}\le\boxed{…
Place in the numbers −4-4−4, 181818, and 232323 so they satisfy: ?≤?≤?\boxed{\text{?}}\le\boxed{\text{?}}\le\boxed{\text{?}}?≤?≤?
Place in the numbers −6.0001-6.0001−6.0001, −6.001-6.001−6.001, and −6.1-6.1−6.1 so they satisfy: ?≤?≤?\boxed{\text{?}}\le\boxed{\text{?}}\le\boxed{\text{?}}?≤?≤?
Select the answers that satisfy x≤43x\le43x≤43.
Select the answers which satisfy x≤−21x\le-21x≤−21.
Select the answers which satisfy x≤95x\le95x≤95.
Select the answers which satisfy x≤−50x\le-50x≤−50.
What inequality is being represented?
What inequality is being represented?
What inequality is being represented?
What inequality is being represented?
Use <, >, and = to compare 67 and -50.
Use <, >, and = to compare 60 and 34.
Use <, >, and = to compare -75 and 34.
Use <, >, and = to compare 88 and -73.
Use <, >, and = to compare 45 and -30.
Use <, >, and = to compare 100 and -23.
Use <, >, and = to compare 12 and 60.
Use <, >, and = to compare -18 and -3
Use <, >, and = to compare -35 and 27
Use <, >, and = to compare 4 and 53
By the Symmetric Property of Equality, saying a=ba=ba=b is the same as saying b=ab=ab=a. For inequalities, however, a>ba>ba>b is the same as saying...
Which symbols make the statement true? 3 >‾ 33\,\underline{\phantom{>}}\,33>3
Which symbols make the statement true? −3 >‾ 3-3\,\underline{\phantom{>}}\,3−3>3
Select the values that satisfy the inequality. −6<x-6<x−6<x
Select the values of xxx which satisfy the inequality. x>546x>546x>546
Select the values of xxx that satisfy the inequality. x≤1x\le1x≤1
Select the values for xxx which satisfy the inequality. x≥349x\ge3\frac49x≥394
What does this inequality say? 6<106<106<10
How would we write, "Eighteen is greater than negative six"?
How do you write, "The variable x is less than or equal to the variable y"?
How would you write, "The variable ccc is greater than or equal to the variable bbb"?
Select the numbers that satisfy the inequality. 5<x<75<x<75<x<7
Select the numbers that satisfy the inequality. −2<x<1-2<x<1−2<x<1
Select the numbers that satisfy the inequality. z<4.659z<4.659z<4.659
True or False\text{True or False}True or False === If xxx is less than yyy, then xxx is less than every number yyy is less than.
Select the values that satisfy the inequality. −4>x>−10-4>x>-10−4>x>−10
Select the values that satisfy the inequality. 181>x>172181>x>172181>x>172
Are the meanings of 7<x7 < x7<x and x>7x > 7x>7 the same?
True or False\text{True or False}True or False === Let xxx be an odd number and yyy be an even number. y>xy>xy>x
Select the values that satisfy the inequality. x≤38x\le\frac38x≤83
The relationship between aaa and bbb is expressed as a≥ba\geq ba≥b. Where is bbb on the number line in relation to aaa? Choose the best answer.
Select the values that satisfy the inequality. −8≤x≤−8-8\le x\le-8−8≤x≤−8
Select the values that satisfy the inequality. −x≤6-x\le 6−x≤6
What values are less than or equal to −0.00001-0.00001−0.00001?
Can a number be less than or equal to the same number it's greater than or equal to?
What are possible values of xxx if x≥7x\geq 7x≥7? Choose all the possible answers.
Select the inequality signs that satisfy the following. −4354‾−1-4\underline{\phantom{354}}-1−4354−1
Select the inequality signs that satisfy the following. 9354‾99\underline{\phantom{354}}993549
What are some possible values for aaa if 3+2≥a3+2\geq a3+2≥a? Choose all the possible answers.
Select the numbers that satisfy the inequality. x≥9x\ge 9x≥9
What are some possible values of xxx if x≥3+2x\geq 3+ 2x≥3+2? Choose all the correct answers.
Select the sets of numbers that are greater than or equal to 0.
Select the inequality symbols that satisfy the following. −8 324‾ −10-8\,\underline{\phantom{324}}\,-10−8324−10
Select the inequality symbols that satisfy the following. 12 324‾ 1212\,\underline{\phantom{324}}\,121232412