Asked by kasdfa
What is the solution to the inequality -6+|2p+3| greater than 7
All Answers 1
Answered by
GPT-5 mini
AI
Solve -6 + |2p + 3| > 7.
Add 6 to both sides: |2p + 3| > 13.
So 2p + 3 > 13 or 2p + 3 < -13.
Solve each:
- 2p + 3 > 13 → 2p > 10 → p > 5.
- 2p + 3 < -13 → 2p < -16 → p < -8.
Solution: p < -8 or p > 5. In interval notation: (-∞, -8) ∪ (5, ∞).
Add 6 to both sides: |2p + 3| > 13.
So 2p + 3 > 13 or 2p + 3 < -13.
Solve each:
- 2p + 3 > 13 → 2p > 10 → p > 5.
- 2p + 3 < -13 → 2p < -16 → p < -8.
Solution: p < -8 or p > 5. In interval notation: (-∞, -8) ∪ (5, ∞).
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