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Five times a number added to 15 is at least 120. Let the letter x represent the number. Find all possible values for x.

A. x ≥ 27
B. x ≤ 27
C. x ≤ 21
D. x ≥ 21

1 Answer

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Final answer:

The correct representation of the condition given is the inequality x ≥ 21, meaning any number greater than or equal to 21 satisfies the given condition.

Step-by-step explanation:

The equation representing the situation where five times a number added to 15 is at least 120 can be written as 5x + 15 ≥ 120. To solve for x, we subtract 15 from both sides of the inequality, resulting in 5x ≥ 105. Next, we divide both sides by 5 to get x ≥ 21. This means that the number x must be greater than or equal to 21 to satisfy the condition stated in the problem. Thus, the all possible values for x are represented by the inequality x ≥ 21.

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