Question

solve the inequality $4p - 5 \leq 25$.

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( p \), we add 5 to both sides of the inequality \( 4p - 5 \leq 25 \). This gives us \( 4p - 5 + 5 \leq 25 + 5 \), which simplifies to \( 4p \leq 30 \).

Step2: Divide both sides by 4

Next, we divide both sides of the inequality \( 4p \leq 30 \) by 4 to solve for \( p \). So we have \( \frac{4p}{4} \leq \frac{30}{4} \), which simplifies to \( p \leq \frac{15}{2} \) (or \( p \leq 7.5 \)).

Answer:

\( p \leq \frac{15}{2} \) (or \( p \leq 7.5 \))