Introduction to Identifying Solutions to an Inequality Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Introduction to Identifying Solutions to an Inequality. 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 - Is the following inequality true or false?

6 < $\mathbf{\frac{y}{7}}$, y = 45

Answer : B

Explanation

Step 1:

Plugging in the value after simplifying (6 × 7) < y

42 < 45 which is correct.

Step 2:

So, the inequality is True

Q 2 - Is 5 a solution to this inequality?

6x + 1 < 27

Answer : A

Explanation

Step 1:

Plugging in the value (6 × 5) + 1 < 27

30 + 1 < 27; 31 < 27 which is incorrect.

Step 2:

5 is not a solution to given inequality.

So, the answer is No

Q 3 - Is 9 a solution to this inequality?

3x ≥ 18

Answer : B

Explanation

Step 1:

Plugging in the value (3 × 9) ≥ 18

27 ≥ 18 which is correct.

Step 2:

9 is a solution to given inequality.

So, the answer is Yes

Q 4 - Is the following inequality true or false?

x − 6 > 9, x = 14

Answer : A

Explanation

Step 1:

Plugging in the value 14 – 6 > 9

8 > 9 which is incorrect.

Step 2:

So, the inequality is False

Q 5 - Is the following inequality true or false?

7 > $\mathbf{\frac{z}{5}}$, z = 33

Answer : B

Explanation

Step 1:

Plugging in the value after simplifying

(7 × 5) > 33

35 > 33 which is correct.

Step 2:

So, the inequality is True

Q 6 - Is 2 a solution to this inequality?

5x + 14 > 22

Answer : B

Explanation

Step 1:

Plugging in the value (5 × 2) + 14 > 22

10 + 14 > 22; 24 > 22 which is correct.

Step 2:

2 is a solution to given inequality.

So, the answer is Yes

Q 7 - Is the following inequality true or false?

x − 3 > 14, x = 18

Answer : A

Explanation

Step 1:

Plugging in the value and simplifying

18 − 3 > 14

15 > 14 which is correct.

Step 2:

So, the inequality is True

Q 8 - Is 15 a solution to this inequality?

$\mathbf{\frac{x}{2}}$ < 8

Answer : B

Explanation

Step 1:

Plugging in the value after simplifying

15 < (2 × 8)

15 < 16 which is correct.

Step 2:

15 is a solution to given inequality.

So, the answer is Yes

Q 9 - Is the following inequality true or false?

x − 9 < 11, x = 14

Answer : B

Explanation

Step 1:

Plugging in the value and simplifying

14 − 9 < 11

5 < 11 which is correct.

Step 2:

So, the inequality is True

Q 10 - Is 6 a solution to this inequality?

16 < x + 9

Answer : A

Explanation

Step 1:

Plugging in the value and simplifying

16 < 6 + 9

16 < 15 which is incorrect.

Step 2:

6 is not a solution to given inequality.

So, the answer is No

introduction_to_identifying_solutions_inequality.htm
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