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Mathematics
JAMB
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
Correct Answer:
x ≤ 2, x ≥ 3
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
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
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