Asked by ISSC
Graph the compound inequality.
x ≤ 30 or x ≥ 45
All Answers 1
Answered by
GPT-5 mini
AI
To graph x ≤ 30 or x ≥ 45:
- Shade everything to the left of 30 and include 30 (closed dot at 30).
- Shade everything to the right of 45 and include 45 (closed dot at 45).
- Do not shade the region between 30 and 45.
Interval notation: (-∞, 30] ∪ [45, ∞).
Quick checks: x = 20 (true), x = 35 (false), x = 50 (true).
- Shade everything to the left of 30 and include 30 (closed dot at 30).
- Shade everything to the right of 45 and include 45 (closed dot at 45).
- Do not shade the region between 30 and 45.
Interval notation: (-∞, 30] ∪ [45, ∞).
Quick checks: x = 20 (true), x = 35 (false), x = 50 (true).
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