Question

Solve the inequality. -8 < 2x - 4 < 4

Answer 1

For this case we must solve the following inequality:

`-8 <2x-4 <4`

Adding 4 in the parts of the inequality we have:

`-8 + 4 <2x-4 + 4 <4 + 4\\-4 <2x <8`

Dividing between 2 each part of the inequality:

`\frac {-4} {2} <\frac {2x} {2} <\frac {8} {2}`

`-2 <x <4`

Answer:

`-2 <x <4`