Additive Property of Inequality with Whole Numbers Online Quiz

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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.

Questions and Answers
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

additive_property_of_inequality_with_whole_numbers.htm
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