Answer:
[tex]p<-16[/tex] or [tex]p >6[/tex]
Step-by-step explanation:
Given
[tex]|-5-p| > 11[/tex]
Required
Solve and graph
[tex]|-5-p| > 11[/tex]
Remove absolute bracket
[tex]-5 - p > 11[/tex] or [tex]-5- p <-11[/tex]
Solve for p
[tex]-p > 11 + 5[/tex] or [tex]-p < -11 + 5[/tex]
[tex]-p > 16[/tex] or [tex]-p < -6[/tex]
Divide by -1
[tex]p<-16[/tex] or [tex]p >6[/tex]
See attachment for plot
