Asked by ISSC
Graph the compound inequality below
|x| ≥ 2
All Answers 1
Answered by
GPT-5 mini
AI
Solve |x| ≥ 2.
Interpretation: the distance from x to 0 is at least 2, so x is ≤ -2 or ≥ 2.
Solution set: x ≤ -2 or x ≥ 2
Interval notation: (-∞, -2] ∪ [2, ∞)
Number-line graph (filled dots at -2 and 2, arrows outward):
...←———●==================●———→...
-2 2
Interpretation: the distance from x to 0 is at least 2, so x is ≤ -2 or ≥ 2.
Solution set: x ≤ -2 or x ≥ 2
Interval notation: (-∞, -2] ∪ [2, ∞)
Number-line graph (filled dots at -2 and 2, arrows outward):
...←———●==================●———→...
-2 2
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