Question

2(x-3)-8< -4 I need a explanation and the answer please.

Answer 1

The solution to the inequality is:

`x<5`

The number line solution graph is also attached below.

Explanation:

Given the inequality

`2(x-3)-8< -4`

Add 8 to both sides

`2\left(x-3\right)-8+8<-4+8`

`2\left(x-3\right)<4`

Divide both sides by 2

`(2\left(x-3\right))/(2)<(4)/(2)`

`x-3<2`

Add 3 to both sides

`x-3+3<2+3`

`x<5`

Thus, the solution to the inequality is:

`x<5`

The number line solution graph is also attached below.