Question

Solve the inequality.

2(4x – 3) ≥ –3(3x) + 5x?

x ≥ 0.5
x ≥ 2

Answer 1

Solve: 2(4x − 3) ≥ −3(3x) + 5x

Left: 8x − 6. Right: −9x + 5x = −4x.

So 8x − 6 ≥ −4x ⇒ 8x + 4x ≥ 6 ⇒ 12x ≥ 6 ⇒ x ≥ 6/12 = 1/2.

Therefore the correct solution is x ≥ 0.5 (not x ≥ 2).