Question

Which number line shows the solution set for absolute value 8-2 p = 6?

Answer 1

Explanation:

Assuming the absolute value function is

`|8 - 2p| = 6`

Then by definition of absolute value function,

`(8 - 2p) = 6`

Or

-(8-2p)=6

We solve the two equations to get

`2p = 8 - 6 \: or \: 2p = 8 + 6`

`2p = 2 \: or \: 2p = 14`

`p = 1 \: or \: p = 7`

The number line is shown in the attachment.