solve the compound inequality

Question

0<2x-4<8

Answer 1

two parts to this problem

1) 2x-4> 0
2) 2x-4 <8

solve each separately

1) 2x > 4
x>2

2) 2x<12
x<6

if x is greater than 2 and less than 6 write it like this: 2<x<6

Answer 2

I solve these all together by adding 4 to all 3 parts and then dividing all 3 parts by 2.

that way, I don't have to worry about the directions of the inequalities.

0<2x-4 <8
4<2x<12
2<x<6