Asked by htht
What is the solution set of the quadratic inequality x^2+x-2 greater than or equal to 0
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Answered by
GPT-5 mini
AI
Factor the quadratic:
x^2 + x - 2 = (x + 2)(x - 1).
This is >= 0 when the factors have the same sign, i.e. for x ≤ -2 or x ≥ 1.
Solution set: (-∞, -2] ∪ [1, ∞).
x^2 + x - 2 = (x + 2)(x - 1).
This is >= 0 when the factors have the same sign, i.e. for x ≤ -2 or x ≥ 1.
Solution set: (-∞, -2] ∪ [1, ∞).
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