Question

which of the $p$-values satisfy the following inequality?

$5 \geq 2p + 1$

choose all answers that apply:

$\square$ a $p = 0$

$\square$ b $p = 1$

$\square$ c $p = 2$

Explanation:

Step1: Solve the inequality for \( p \)

Subtract 1 from both sides of the inequality \( 5 \geq 2p + 1 \):
\( 5 - 1 \geq 2p + 1 - 1 \)
\( 4 \geq 2p \)
Then divide both sides by 2:
\( \frac{4}{2} \geq \frac{2p}{2} \)
\( 2 \geq p \) or \( p \leq 2 \)

Step2: Check each option

• For option A (\( p = 0 \)): Since \( 0 \leq 2 \), it satisfies the inequality.
• For option B (\( p = 1 \)): Since \( 1 \leq 2 \), it satisfies the inequality.
• For option C (\( p = 2 \)): Since \( 2 \leq 2 \), it satisfies the inequality.

Answer:

A. \( p = 0 \), B. \( p = 1 \), C. \( p = 2 \)