Multiplicative Property of Inequality with Whole Numbers Online Quiz

Answer : A

Explanation

Step 1:

Given 7u < −28; Using multiplicative property of inequality, We divide both sides by 7

$\frac{7u}{7}$ < $\frac{−28}{7}$; u < −4

Step 2:

So, the solution for the inequality is u < −4

Answer : C

Explanation

Step 1:

Given 12w ≥ 84; Using multiplicative property of inequality, We divide both sides by 12

$\frac{12w}{12}$ < $\frac{84}{12}$; w < 7

Step 2:

So, the solution for the inequality is w < 7

Answer : B

Explanation

Step 1:

Given $\frac{−15}{x}$ > 5;

Cross multiplying −15 > 5x

Using multiplicative property of inequality, We divide both sides by 5

$\frac{−15}{5}$ < $\frac{5x}{5}$; −3 < x

Step 2:

So, the solution for the inequality is x > −3

Answer : D

Explanation

Step 1:

Given 9 ≤ $\frac{72}{z}$;

Cross multiplying 9z ≤ 72

Using multiplicative property of inequality, We divide both sides by 9

$\frac{9z}{9}$ ≤ $\frac{72}{9}$; z ≤ 8

Step 2:

So, the solution for the inequality is z ≤ 8

Answer : C

Explanation

Step 1:

Given 16y ≤ −48; Using multiplicative property of inequality, We divide both sides by 16

$\frac{16y}{16}$ ≤ $\frac{−48}{16}$; y ≤ −3

Step 2:

So, the solution for the inequality is y ≤ −3

Answer : B

Explanation

Step 1:

Given $\frac{x}{5}$ < −8

Using multiplicative property of inequality, We multiply both sides by 5

$\frac{x}{5}$ × 5 < −8 × 5; x < −40

Step 2:

So, the solution for the inequality is x < −40

Answer : A

Explanation

Step 1:

Given 11 ≤ $\frac{154}{q}$

Cross multiplying 11q ≤ 154

Using multiplicative property of inequality, We divide both sides by 11

$\frac{11q}{11}$ ≤ $\frac{154}{11}$; q ≤ 14

Step 2:

So, the solution for the inequality is q ≤ 14

Answer : D

Explanation

Step 1:

Given −6 ≥ $\frac{54}{m}$

Cross multiplying −6m ≥ 54

Using multiplicative property of inequality, We divide both sides by −6 and sign is flipped

$\frac{−6m}{−6}$ ≥ $\frac{54}{−6}$; m ≤ −9

Step 2:

So, the solution for the inequality is m ≤ −9

Answer : B

Explanation

Step 1:

Given −17r > 136; Using multiplicative property of inequality, We divide both sides by −17

The inequality sign is flipped

$\frac{−17r}{−17}$ > $\frac{136}{−17}$; r < −8

Step 2:

So, the solution for the inequality is r < −8

Answer : C

Explanation

Step 1:

Given 6 ≤ $\frac{36}{z}$

Cross multiplying 6z ≤ 36

Using multiplicative property of inequality, We divide both sides by 6

$\frac{6z}{6}$ ≤ $\frac{36}{6}$; z ≤ 6

Step 2:

So, the solution for the inequality is z ≤ 6