Question

10| x – 4| - 3 > 47​

Answer 1

x < -1 or x > 9

Explanation:

`10|x-4|-3>47`

Add 3 to both sides.

`10|x-4|-3+3>47+3`

Simplify.

`10|x-4|>50`

Divide both sides by 10.

`(10|x-4|)/(10) >(50)/(10)`

Simplify.

`|x-4|>5`

Apply absolute value rule: If
`|u|>a,a>0` then
`u < -a` or
`u>a`

`x-4<5` or
`x-4 >5`

`x-4<-5`

Add 4 to both sides.

`x-4+4<-5+4`

Simplify.

`x<-1`

`x-4>5`

Add 4 to both sides.

`x-4+4>5+4`

Simplify.

`x>9`

Combine the intervals.

`x<-1` or
`x>9`