How do you solve this inequality: -6 < 2x - 4 < 12?

Question

How do you solve this inequality: -6 < 2x - 4 < 12?

Answer 1

-6&lt;2x-4&lt;12          

+4     +4    +4       add four to all sides

-2/2&lt;2x/2&lt;16/2      divide by 2 all sides

-1&lt;x&lt;8                  simplify

Answer 2

-6 &lt; 2x - 4 &lt; 12

Add four to both sides to get 2x alone.

-6 + 4 &lt; 2x &lt; 12 + 4

Simplify it.

-2 &lt; 2x &lt; 16

Divide 2 by both sides to get x alone.

-1 &lt; x &lt; 8