Which of the following describes all values of x that satisfy −3

Question

Which of the following describes all values of x that satisfy −3 < 2x − 5 ≤ 7?

Accepted Answer

A. 1 < x ≤ 6. Add 5 to all parts: 2 < 2x ≤ 12. Divide by 2: 1 < x ≤ 6.

Answer

B. −4 < x ≤ 1 — −4 < x ≤ 1 subtracts 5 instead of adding.

Answer

C. 1 ≤ x < 6 — 1 ≤ x < 6 swaps which end is included; the strict inequality is on the left.

Answer

D. −1 < x ≤ 6 — −1 < x ≤ 6 forgets to add 5 to the left end before dividing.

Algebra practice question