Solve the compound inequality:

-6<2x-4<12

- 6 < 2x - 4 < 12 / + 4;

-2 < 2x < 16; / : 2;

- 1 < x < 8;

x ∈ ( - 1; + 8)

When solving compound inequalities, you must treat it like two equations so

-6 <2x-4 <12 becomes

-6 <2x-4 and 2x-4<12

Then solve both equations normally:

-6<2x-4

-2<2x

-1

2x-4<12

2x<16

x<8

We then reunite these two inequalities forn one:

-1

Which actually has a special notation as a solution:

{x|-1