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Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0

Mathematics
JAMB 2008

Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0

  • A. x ≤ 2, x ≥ 3
  • B. x ≤ 3, x ≥ 2
  • C. x ≤ -2, x ≥ -3
  • D. x ≤-3, x ≥ 2
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Correct Answer: Option A
Explanation

x\(^2\) - 5x + 6 = 0
(X-2)(X-3) = 0
X-2 = 0 implies X = 2
X-3 = 0 implies X = 3
∴ x ≤ 2, x ≥ 3

There is an explanation video available below.


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Explanation Video

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