Question

How do you solve the inequality `abs(7x) > -4`?

Answer 1

`-4/7 -< x -< 4/7`

Explanation:

`|7x| >- 4` is equivalent to the following two inequalities:
`7x >- 4` and `-7x >- 4`.

Dividing out 7 and -7 gives us:
`x >- 4/7` and `-4/7 >- x`.

Combining the two inequalities together gives:
`-4/7 -< x -< 4/7`