- Writing, Graphing and Solving Inequalities
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- 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
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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.
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
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
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
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
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
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
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
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
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
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