- 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

# Additive Property of Inequality with Whole Numbers Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Additive 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 the additive property of inequality:**

**10 < x + 6**

### Answer : C

### Explanation

**Step 1:**

Given 10 < x + 6; Using additive property of inequality We subtract 6 from both sides

10 − 6 < x + 6 – 6; 4 < x; x > 4

**Step 2:**

So, the solution for the inequality is x > 4

**Q 2 - Solve the following using the additive property of inequality:**

**x + 15 > 7**

### Answer : B

### Explanation

**Step 1:**

Given x + 15 > 7; Using additive property of inequality

We subtract 15 from both sides

x + 15 − 15 > 7 – 15; x > −8

**Step 2:**

So, the solution for the inequality is x > −8

**Q 3 - Solve the following using the additive property of inequality:**

**x −12 > 9**

### Answer : A

### Explanation

**Step 1:**

Given x −12 > 9; Using additive property of inequality

We add 12 to both sides

x + 12 − 12 > 9 + 12; x > 21

**Step 2:**

So, the solution for the inequality is x > 21

**Q 4 - Solve the following using the additive property of inequality:**

**5 – x ≥ 8**

### Answer : D

### Explanation

**Step 1:**

Given 5 – x ≥ 8; Using additive property of inequality

We subtract 5 from both sides

5 − x – 5 ≥ 8 – 5; −x ≥ 3

**Step 2:**

Dividing both sides by −1, we get x ≤ −3 after flipping the inequality sign as well.

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

**Q 5 - Solve the following using the additive property of inequality:**

**x + 3 ≥ −5**

### Answer : B

### Explanation

**Step 1:**

Given x + 3 ≥ −5; Using additive property of inequality

We subtract 3 from both sides

3 + x – 3 ≥ −3 – 5; x ≥ −8

**Step 2:**

So, the solution for the inequality is x ≥ −8

**Q 6 - Solve the following using the additive property of inequality:**

**8 > 19 − x**

### Answer : C

### Explanation

**Step 1:**

Given 8 > 19 − x; Using additive property of inequality

We subtract 19 from both sides

8 − 19 > 19 –x − 19; −11 > −x

**Step 2:**

Dividing both sides by −1, we get 11 < x after flipping the inequality sign as well.

So, the solution for the inequality is x > 11

**Q 7 - Solve the following using the additive property of inequality:**

**x + 2 > −15**

### Answer : D

### Explanation

**Step 1:**

Given x + 2 > − 15; Using additive property of inequality

We subtract 2 from both sides

x +2 − 2 > –15 − 2; x > −17

**Step 2:**

So, the solution for the inequality is x > −17

**Q 8 - Solve the following using the additive property of inequality:**

**8 – x ≥ 13**

### Answer : A

### Explanation

**Step 1:**

Given 8 – x ≥ 13; Using additive property of inequality

We subtract 8 from both sides

8 − x – 8 ≥ 13 – 8; −x ≥ 5

**Step 2:**

Dividing both sides by −1, we get x ≤ −5 after flipping the inequality sign as well.

So, the solution for the inequality is x ≤ −5

**Q 9 - Solve the following using the additive property of inequality:**

**x + 9 ≥ −6**

### Answer : C

### Explanation

**Step 1:**

Given x + 9 ≥ −6;

Using additive property of inequality We subtract 9 from both sides

x + 9 – 9 ≥ −6 – 9; x ≥ −15

**Step 2:**

So, the solution for the inequality is x ≥ −15

**Q 10 - Solve the following using the additive property of inequality:**

**16 < 7 − x**

### Answer : B

### Explanation

**Step 1:**

Given 16 < 7 − x; Using additive property of inequality

We subtract 7 from both sides

16 − 7 < 7 –7 − x; 9 < −x

**Step 2:**

Dividing both sides by −1, we get −9 > x after flipping the inequality sign as well.

So, the solution for the inequality is x < −9