To solve the inequality [tex]\(\frac{p}{5} \leq 8\)[/tex], follow these steps:
1. Begin with the inequality:
[tex]\[
\frac{p}{5} \leq 8
\][/tex]
2. To eliminate the fraction, multiply both sides of the inequality by 5:
[tex]\[
5 \cdot \frac{p}{5} \leq 5 \cdot 8
\][/tex]
3. Simplify the left side by canceling out the 5 in the denominator:
[tex]\[
p \leq 40
\][/tex]
Therefore, the solution to the inequality [tex]\(\frac{p}{5} \leq 8\)[/tex] is:
[tex]\[
p \leq 40
\][/tex]
So the inequality symbol to be used is [tex]\( \leq \)[/tex]. Thus, [tex]$p$[/tex] [tex]\(\leq\)[/tex] 40.
