Multiplicative Property of Inequality with Whole Numbers Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Multiplicative Property of Inequality with Whole Numbers. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Solve the following using multiplicative property of inequality:

7u < −28

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

Q 2 - Solve the following using multiplicative property of inequality:

12w ≥ 84

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

Q 3 - Solve the following using multiplicative property of inequality:

$\mathbf{\frac{−15}{x}}$ > 5

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

Q 4 - Solve the following using multiplicative property of inequality:

9 ≤ $\mathbf{\frac{72}{z}}$

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

Q 5 - Solve the following using multiplicative property of inequality:

16y ≤ −48

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

Q 6 - Solve the following using multiplicative property of inequality:

$\mathbf{\frac{x}{5}}$ < −8

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

Q 7 - Solve the following using multiplicative property of inequality:

11 ≤ $\mathbf{\frac{154}{q}}$

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

Q 8 - Solve the following using multiplicative property of inequality:

−6 ≥ $\mathbf{\frac{54}{m}}$

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

Q 9 - Solve the following using multiplicative property of inequality:

−17r > 136

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

Q 10 - Solve the following using multiplicative property of inequality:

6 ≤ $\mathbf{\frac{36}{z}}$

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

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