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Question 3 of 6

Which number(s) below belong to the solution set of the inequality?

\[ x + 22 < 32 \]

A. 5
B. 71
C. 10
D. 0
E. 8
F. 15

Answer :

Final answer:

The numbers that belong to the solution set of the inequality x + 22 < 32 are 5, 0, and 8, as they are all less than 10.

Explanation:

To solve the inequality x + 22 < 32, we need to isolate the variable x on one side. We do this by subtracting 22 from both sides of the inequality:

x + 22 - 22 < 32 - 22

x < 10

This means that the solution set for x includes all numbers that are less than 10. Now we can check which of the given numbers belong to this solution set:

A. 5 < 10 True, so 5 is part of the solution set.

B. 71 < 10 False, so 71 is not part of the solution set.

C. 10 < 10 False, 10 is not less than 10.

D. 0 < 10 True, so 0 is part of the solution set.

E. 8 < 10 True, so 8 is part of the solution set.

F. 15 < 10 False, so 15 is not part of the solution set.

Therefore, the numbers that belong to the solution set of the inequality x + 22 < 32 are 5, 0, and 8.

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Rewritten by : Barada

Final answer:

To solve the inequality x + 22 < 32, subtract 22 from both sides to isolate x < 10. The numbers that belong to the solution set are 5, 0, and 8.


Explanation:

To determine the numbers that belong to the solution set of the inequality, we need to solve the inequality by isolating x on one side. Subtracting 22 from both sides, we get x < 10. This means that any number less than 10 would be in the solution set. Based on the given options, the numbers that belong to the solution set are 5, 0, and 8. Therefore, options A, C, D, and F are correct.


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