Solve Inequalities with Negative Multiplication or Division — Examples
Read this topicExplanations 3
- Solving Inequalities: Multiplication by a Negative Number: Sometimes, it is necessary to multiply an inequality by a negative number in order to solve the inequality. Compared t…
By Tommy San Miguel, Catherine Yeo, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Joshua Siktar
- (Video) Solving Basic Linear Inequalities Involving Multiplication or Division by PatrickJMT Here Patrick JMT has a good video explaining how to go about solving a few inequalit…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Joshua Siktar
- Multiplying and Dividing by a Negative to Solve an Inequality\textbf{Multiplying and Dividing by a Negative to Solve an Inequality}Multiplying and Dividing by a Negative to Solv…
By Caroline K
Problems 27
- Which of the following compound inequalities is equivalent to −2x<−5q<−8-2x < -5q < -8−2x<−5q<−8?
- Simplify the inequality −3x>6-3x>6−3x>6.
- Solve for xxx. −2x<6-2x < 6−2x<6
- What values of α\alphaα make this inequality true? 4−(−α)>34-(-\alpha)>34−(−α)>3
- Which values of xxx below satisfy −x≥3-x \geq 3−x≥3?
- Simplify the inequality −2x>1-2x > 1−2x>1.
- Find all real numbers xxx such that x<0x < 0x<0 AND x2+x>4xx^2 + x > 4xx2+x>4x.
- Solve 3x×(−4)>483x\times(-4)>483x×(−4)>48.
- Select the operations that would change the direction of the inequality sign.
- Solve −2(x−1)≤6-2(x-1)\leq{6}−2(x−1)≤6.
- Solve the inequality 6−12x≤86-\frac{1}{2}x\leq{8}6−21x≤8.
- Solve −2y+8≥−10-2y+8\geq{-10}−2y+8≥−10.
- If ccc is a negative constant, solve xc>5xc>5xc>5 for xxx.
- Dividing both sides of an inequality by a negative number changes‾\underline{\phantom{changes}}changes the direction of the inequality.
- For the Division Property of Inequality to be true, which of the following conditions must be met? (ccc is the arbitrary constant you are dividing by.)
- Solve 5⋅−x10<15⋅55\cdot-\frac{x}{10}<15\cdot55⋅−10x<15⋅5.
- Which of the following inequalities is shown by the number line above?
- What happens to the values on each side of the inequality sign when the sign gets flipped by the division property of inequality?
- If ccc is a negative constant, solve for xxx in the inequality cx+3>5cx+3>5cx+3>5.
- Solve −7x≥49-7x\geq{49}−7x≥49.
- Solve 618≥−x3\frac{6}{18}\geq{-\frac{x}{3}}186≥−3x.
- Solve 20>−2x320>-\frac{2x}{3}20>−32x.
- Which of the following inequalities does the number line above represent?
- Solve −(3⋅2)x≤7−3-\left(3\cdot2\right)x\leq{7-3}−(3⋅2)x≤7−3.
- Simplify the following inequality: −13x<−16x−12-\frac{1}{3}x<-\frac{1}{6}x-12−31x<−61x−12
- Simplify the inequality: −x>5-x>5−x>5
- Solve the inequality x+12≥3x+4x + 12 \geq 3x + 4x+12≥3x+4.