Solve 5 (p - 3) < or = 30

1 answer

To solve the inequality \( 5(p - 3) \leq 30 \), follow these steps:

  1. Distribute the 5:

    \[ 5p - 15 \leq 30 \]

  2. Add 15 to both sides:

    \[ 5p \leq 30 + 15 \]

    \[ 5p \leq 45 \]

  3. Divide both sides by 5:

    \[ p \leq \frac{45}{5} \]

    \[ p \leq 9 \]

The solution to the inequality is

\[ p \leq 9 \]