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which of the g-values satisfy the following inequality? $7 \\geq 12 - g…

Question

which of the g-values satisfy the following inequality?
$7 \geq 12 - g$
choose all answers that apply:
a $g = 4$
b $g = 5$
c $g = 6$

Explanation:

Step1: Solve the inequality for \( g \)

Start with the inequality \( 7 \geq 12 - g \). Add \( g \) to both sides: \( 7 + g \geq 12 \). Then subtract 7 from both sides: \( g \geq 12 - 7 \), so \( g \geq 5 \).

Step2: Check each option

  • For option A (\( g = 4 \)): \( 4 \geq 5 \) is false.
  • For option B (\( g = 5 \)): \( 5 \geq 5 \) is true.
  • For option C (\( g = 6 \)): \( 6 \geq 5 \) is true.

Answer:

B. \( g = 5 \), C. \( g = 6 \)