Question

How do you solve the inequality `-4<x/4 - 6`?

Answer 1

`x>8`

Explanation:

`"isolate "x/4" by adding 6 to both sides"`

`rArr2 < x/4`

`"multiply both sides by 4"`

`rArr8 < x" or "x>8`

Answer 2

Remember to reverse the inequality IFF you multiply (or divide) by a negative number. Isolate the x term on either side of the inequality, just as if it were an equal sign.

Explanation:

Add 6 to both sides of the inequality, then multiply by 4.

`-4 < x/4 - 6,`
`-4 + 6 < x/4 - 6 + 6,`
`2 < x/4,`
`2 * 4 < (x/4) * 4,`
`8 < x`