Question

which set expresses the solution to the compound inequality -3 ≤ 2x - 5 < 1 ?

{x | 2 ≤ x < 6}
{X : 1 ≤ X < 3
{X : 3.5 ≤ X < 5.5}
{x | - 1.5 ≤ X < 0.5}

Answer 1

Solve -3 ≤ 2x - 5 < 1.

Add 5 to all parts: 2 ≤ 2x < 6.
Divide by 2: 1 ≤ x < 3.

So the correct set is {x : 1 ≤ x < 3}.