Question

solve for g.
-2g - 9 > 5 or g + 16 ≥ 16
write your answer as a compound inequality with integers.

Explanation:

Step1: Solve \(-2g - 9 > 5\)

Add 9 to both sides: \(-2g - 9 + 9 > 5 + 9\)
Simplify: \(-2g > 14\)
Divide both sides by -2 (reverse inequality): \(g < -7\)

Step2: Solve \(g + 16 \geq 16\)

Subtract 16 from both sides: \(g + 16 - 16 \geq 16 - 16\)
Simplify: \(g \geq 0\)

Answer:

\(g < -7\) or \(g \geq 0\)