Question

read Dune Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. 1 16 = 18 2) pulss 18 boots -34 bane

Answer 1

The solution is: -3 < p < 3.8

Step-by-step explanation

When we have an absolute value inequality, to "eliminate" the absolute value we have to write the following:

`\begin{gathered} |10p-4|<34 \\ -34<10p-4<34 \end{gathered}`

To solve this we have to add 4 everywhere in the inequality:

`\begin{gathered} -34+4<10p-4+4<34+4 \\ -30<10p<38 \end{gathered}`

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.