Question

1. which one of the following values satisfies the inequality $42 \leq 6p$? \\(\bigcirc\\) $p = 8$ \\(\bigcirc\\) $p = 6$ \\(\bigcirc\\) $p = 4$ \\(\bigcirc\\) $p = 2$

Explanation:

Step1: Solve the inequality for \( p \)

To solve \( 42 \leq 6p \), we divide both sides by 6.
\[
\frac{42}{6} \leq \frac{6p}{6}
\]
Simplifying, we get \( 7 \leq p \), which means \( p \) must be greater than or equal to 7.

Step2: Check each option

• For \( p = 8 \): \( 8 \geq 7 \), so this satisfies the inequality.
• For \( p = 6 \): \( 6 < 7 \), so this does not satisfy the inequality.
• For \( p = 4 \): \( 4 < 7 \), so this does not satisfy the inequality.
• For \( p = 2 \): \( 2 < 7 \), so this does not satisfy the inequality.

Answer:

A. \( p = 8 \)