Question

which of the choices are solutions of $p + 8 \geq 12$?
a) 0
b) 7
c) 2
d) 4
e) 5

Explanation:

Step1: Solve the inequality

To solve \( p + 8 \geq 12 \), subtract 8 from both sides:
\( p \geq 12 - 8 \)
\( p \geq 4 \)

Step2: Check each option

• A) \( 0 \): \( 0 \geq 4 \)? No.
• B) \( 7 \): \( 7 \geq 4 \)? Yes.
• C) \( 2 \): \( 2 \geq 4 \)? No.
• D) \( 4 \): \( 4 \geq 4 \)? Yes.
• E) \( 5 \): \( 5 \geq 4 \)? Yes.

Answer:

B) 7, D) 4, E) 5