Question

Absolute value of 4x-7 greater than and equal to 9​

Answer 1

Explanation:

`|4x - 7|` ≤
`9`

With this, we can construct two inequalities:

`4x - 7` ≤
`9`

`4x - 7` ≥
`-9`

Solving for each one will give us the answer:

`4x - 7` ≤
`9`

`4x` ≤
`16`

`x` ≤
`4`

`4x - 7` ≥
`-9`

`4x` ≥
`-2`

`x` ≥
`(-1)/(2)`

This give us the following range:

`(-1)/(2)` ≤
`x` ≤
`4`