Question
5. [1/2 Points] DETAILS MY NOTES TGEIALG6 2.7.025. Solve the inequality. Write the solution set in interval notation. \( g-33 \geq-25 \) \( x \)
Ask by Byrd Evans. in the United States
Mar 17,2025
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Tutor-Verified Answer
Answer
The solution is \( g \geq 8 \), which in interval notation is \([8, \infty)\).
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The Deep Dive
To solve the inequality \( g - 33 \geq -25 \), first, add 33 to both sides to isolate \( g \): \( g \geq -25 + 33 \) \( g \geq 8 \) In interval notation, the solution set is represented as \( [8, \infty) \). Now, when dealing with inequalities, remember that if you multiply or divide by a negative number, you must flip the inequality sign! This is one common mistake that can lead to incorrect solutions. Always keep your signs in check!
