ANSWER
The solution is: -3 < p < 3.8
EXPLANATION
When we have an absolute value inequality, to "eliminate" the absolute value we have to write the following:
[tex]\begin{gathered} |10p-4|<34 \\ -34<10p-4<34 \end{gathered}[/tex]
To solve this we have to add 4 everywhere in the inequality:
[tex]\begin{gathered} -34+4<10p-4+4<34+4 \\ -30<10p<38 \end{gathered}[/tex]
And divide everything by 10:
[tex]\begin{gathered} -\frac{30}{10}<\frac{10p}{10}<\frac{38}{10} \\ -3
To graph we have to draw a line from -3 to 3.8, with empty circles at the ends - because those values are not included in the solution.
