Transitive Property — Definition & Examples
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- Statement of the Property The transitive property of order for inequalities is: If A<B and B<C, then A<C.\text{If }A<B\text{ and }B<C\text{, then }\color{29a603}{A<C}.If A<B and…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Sarah Walker, Jonathan Heller, Joshua Siktar
- Transitive Property of Order You might remember the transitive property of equality. It tells us that if A=BA = BA=B and B=CB = CB=C, then A=CA = CA=C. The transitive property o…
By Zora Gilbert, Alex Federspiel, Sarah Walker, Amy Feraco, Caroline K, Joshua Siktar
- (Video) Lesson 25: Properties of Inequalities Part 1 by AIC ASIA This video by AIC ASIA covers properties of inequalities, including the transitive property of order. Summary\la…
By Jonathan Heller, Joshua Siktar
Problems 24
- Luke has less money than Jared.\\ Jared has less than 10\1010.\\ You can be sure that Luke has less than how many dollars? Give the most specific answer.
- Luke doesn't like the fact that Jared has more money. He decides to apply for a job. He finds a company that wants more than 333 years of experience. Luke can't remember how man…
- If A<BA<BA<B and B>CB>CB>C you can't assume A<CA<CA<C. What triples of numbers (A,B,C)(A,B,C)(A,B,C) prove that you cannot assume this? Select all that apply.
- If B>CB>CB>C, C>FC>FC>F, K>FK>FK>F and K>BK>BK>B, write B,C,F,KB,C,F,KB,C,F,K from smallest to largest?
- K>FF<GK<GF>AG>K\begin{align} K&>F\\ F&<G\\ K&<G\\ F&>A\\ G&>K \end{align}KFKFG>F<G<G>A>K Is G<AG<AG<A?
- If K>DK>DK>D and K=2K=2K=2 which of the following are true?
- If Brian is taller than Mary and Jess is shorter than Mary, this means that
- If the Calculus book is bigger than the Algebra book, and the Algebra book is bigger than the History book, then by the Transitive Property we can conclude that...
- If x≤yx\leq yx≤y and y≤zy\leq zy≤z, then we can conclude that..
- If 6>(5+a)6>(5+a)6>(5+a) and (5+a)>2(5+a)>2(5+a)>2, then which of the following must be true?
- If a quadratic equation of the form x2+bx+c=0x^2+bx+c=0x2+bx+c=0 has no real solutions, which of the following must be true of ccc? (Select all that apply.)
- We know the transitive property holds for "is equal to" and "is greater than". But what about "is equal or greater than"? Is it true that if a≥ba\geq ba≥b and b≥cb\geq cb≥c, the…
- If Natalya has more friends than Amaria who has more friends than Barbara, then what can we say about Natalya and Barbara?
- Suppose A<BA<BA<B, B<CB<CB<C, and D=FD=FD=F. What statements can we make?
- True or False\text{True or False}True or False === If A<BA<BA<B and A<CA<CA<C, then BBB is always greater than CCC.
- If 1<31<31<3 and 3<x3<x3<x, what value of xxx would satisfy 1<x1<x1<x?
- If Alexandra likes cats less than dogs and cats more than rabbits, what inequality would represent her preferences of dogs versus rabbits?
- True or False\text{True or False}True or False === The transitive property of order fails when you use negative numbers.
- Which style of eggs should you serve her to make her breakfast better?
- Luciana can read less than 200200200 words per minute. 200200200 words per minute is less than what her friend Stacy can read. What is the fastest that Stacy can read?
- Is it possible for Brittany to make more money than Sasha, Sasha to make more money than Allison, and Allison to make more money that Brittany?
- Rylie uses Snapchat more than Twitter. She uses Twitter more than Facebook. She uses Facebook less than Tumblr. Which inequality describes her preferences of Snapchat versus Tum…
- What is her preference when it comes to Bacon versus Pepperoni?
- If A<BA<BA<B, B=CB=CB=C, C<DC<DC<D, then what do we know about AAA and DDD?