Question

1. Solve the inequality.
-12 < 2x - 4 <10

Answer 1

8<x<7

Explanation:

12<2x−4<10

12+4<2x−4+4<10+4(Add 4 to all parts)

16<2x<14

16

2

<

2x

2

<

14

2

(Divide all parts by 2)

Answer 2

-4 < x < 7

Explanation:

-12 < 2x - 4 <10 (add 4 across the inequality)

-12 + 4 < 2x <10 + 4

-8 < 2x < 14 (divide ineqality by 2)

-8/2 < x < 14/2

-4 < x < 7