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Is the value x=3 in the solution set of the compound inequality 4x-5 ≥3 or 5-x>8?


A) Yes, the value x = 3 satisfies the inequality 4x -5 ≥ 3
B) No, the value x = 3 exists between the solutions of 4x-5 ≥3 or 5-x>8
C) No, the value x = 3 only satisfies the inequality 5-x>8
D) Yes, the value x = 3 satisfies both inequalities

Respuesta :

Answer:   Choice A)

Yes, the value x = 3 satisfies the inequality 4x -5 ≥ 3

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Explanation:

Replace x with 3. Then simplify

4x -5 ≥ 3

4*3 -5 ≥ 3

12 -5 ≥ 3

7 ≥ 3

The last inequality is true which means the original inequality 4x -5 ≥ 3 is true when x = 3.

Therefore, x = 3 is in the solution set for 4x -5 ≥ 3

We don't need to worry about the 5 - x > 8 inequality since we only need to satisfy at least one inequality (due to the keyword "or").

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