Which of the following values of x satisfies both 2x − 3 5 and 10 − x ≥ 3?

Question

Which of the following values of x satisfies both 2x − 3 > 5 and 10 − x ≥ 3?

Accepted Answer

A. 6. 2x − 3 > 5 gives x > 4, and 10 − x ≥ 3 gives x ≤ 7. Only 6 lies in 4 < x ≤ 7.

Answer

B. 4 — 4 makes 2x − 3 = 5, which is not greater than 5.

Answer

C. 8 — 8 gives 10 − 8 = 2, which is less than 3.

Answer

D. 3 — 3 fails the first inequality: 2(3) − 3 = 3.

Algebra practice question