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Solve the quadratic inequalities x2 - 5x + 6 ≥0

Solve the quadratic inequalities x2 - 5x + 6 ≥0
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  • A X ≤ 2, x ≥ 3
  • B X ≤ 3, x ≥ 2
  • C X ≤ -2, x ≥ -3
  • D X ≤-3, x ≥ 2
Correct Answer: Option A
Explanation:

x2 - 5x + 6 = 0
(X-2)(X-3) = 0
X-2 = 0 implies X = 2
X-3 = 0 implies X = 3
− x ≤ 2, x ≥ 3

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