Question

4.0a write and represent inequ-

1. consider the following situation:

\1 less than 4 groups of p is no more than 8\.
construct and solve the inequality described above.
enter your next step here

Explanation:

Step1: Translate the situation into an inequality

"4 groups of \( p \)" is \( 4p \), "1 less than 4 groups of \( p \)" is \( 4p - 1 \), and "no more than 8" means \( \leq 8 \). So the inequality is \( 4p - 1 \leq 8 \).

Step2: Solve the inequality for \( p \)

Add 1 to both sides: \( 4p - 1 + 1 \leq 8 + 1 \) which simplifies to \( 4p \leq 9 \).
Then divide both sides by 4: \( p \leq \frac{9}{4} \) or \( p \leq 2.25 \).

Answer:

The inequality is \( 4p - 1 \leq 8 \) and the solution is \( p \leq \frac{9}{4} \) (or \( p \leq 2.25 \)).