Question

6|4p+2|-8<34 please help solve this.

Answer 1

6|4p+2|-8<34
6|4p+2| <34+8=42
|4p+2| < (42/6)=7

So solve for
|4p+2| < 7

which means
either
4p+2 < 7
or
-(4p+2)<7

Can you take it from here?

Answer 2

|4p+2| < 7

(4p+2)<7 or (4p+2)<-7
4 p < 5 or 4p <-9
p<5/2 or p>-9/4
-9/4<p<5/2

check, p = 0 for example
12-8<34, right checks
check, p = -2 for example
36-8 <34 checks

Answer 3

Thank You :)