Question

which of the s-values satisfy the following inequality?

$7 - \frac{s}{2} > 3$

choose all answers that apply:

a $s = 6$

b $s = 8$

c $s = 10$

Explanation:

Step1: Solve the inequality for \( s \)

Start with the inequality \( 7 - \frac{s}{2} > 3 \). Subtract 7 from both sides:
\( 7 - \frac{s}{2} - 7 > 3 - 7 \)
Simplify to get \( -\frac{s}{2} > -4 \).
Multiply both sides by -2 (remember to reverse the inequality sign when multiplying by a negative number):
\( s < 8 \)

Step2: Check each option

• For option A (\( s = 6 \)): Since \( 6 < 8 \), it satisfies the inequality.
• For option B (\( s = 8 \)): Since \( 8 \) is not less than \( 8 \) (it's equal), it does not satisfy the inequality.
• For option C (\( s = 10 \)): Since \( 10 > 8 \), it does not satisfy the inequality.

Answer:

A. \( s = 6 \)