Question

what is the solution to the compound inequality? -8< 2x-4<2

Answer 1

Answer:

–2 < x < 3

Step-by-step explanation:

–8 < 2x – 4 < 2

Add 4 to all parts:

–8 + 4 < 2x – 4 + 4 < 2 + 4

Simplify:

–4 < 2x < 6

Divide all parts by 2:

(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)

Simplify:

–2 < x < 3