- Writing, Graphing and Solving Inequalities
- Home
- Translating a Sentence by Using an Inequality Symbol
- Translating a Sentence into a One-Step Inequality
- Introduction to Identifying Solutions to an Inequality
- Writing an Inequality for a Real-World Situation
- Graphing a Linear Inequality on the Number Line
- Writing an Inequality Given a Graph on the Number Line
- Identifying Solutions to a One-Step Linear Inequality
- Additive Property of Inequality with Whole Numbers
- Multiplicative Property of Inequality with Whole Numbers
- Solving a Two-Step Linear Inequality with Whole Numbers
- Solving a Word Problem Using a One-Step Linear Inequality

# 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