Question

Identify the graph of the compound inequality (-2 < 2x -6)

Answer 1

plug in 0 for z
so it would change to -2<6

Answer 2

`x>2`

Explanation:

We have been given an inequality
`-2<2x-6`. We are asked to graph the given inequality.

Let us solve for x.

Add 6 on both sides:

`-2+6<2x-6+6`

`4<2x`

Divide both sides by 2:

`(4)/(2)<(2x)/(2)`

`2<x`

`x>2`

Therefore, the solution for our given inequality is all values of x greater than 2.

We will have an open dot at
`x=2` and the arrow will on number line will point towards positive side.