Question

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answer 1

Start by expanding: –2(5 – 4x) = –10 + 8x. So

–10 + 8x < 6x – 4
2x – 10 < –4 (subtract 6x)
2x < 6 (add 10)

Final step: divide both sides by 2 (positive), giving x < 3.