Step-by-step explanation:
Assuming the absolute value function is
[tex] |8 - 2p| = 6[/tex]
Then by definition of absolute value function,
[tex](8 - 2p) = 6[/tex]
Or
-(8-2p)=6
We solve the two equations to get
[tex]2p = 8 - 6 \: or \: 2p = 8 + 6[/tex]
[tex]2p = 2 \: or \: 2p = 14[/tex]
[tex]p = 1 \: or \: p = 7[/tex]
The number line is shown in the attachment.
