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If y x2 - x - 12 find the range of values of x ... - JAMB Mathematics 2006 Question

If y = x2 - x - 12, find the range of values of x for which y \( \geq \) 0
A
x < -3 0r x > 4
B
x \( \leq \) -3 or x \( \geq \) 4
C
-3 < x \( \geq \) 4
D
-3 \( \leq \) x \( \leq \) 4
correct option: c

y = x2 - x - 12

= (x - 4)(x - 3)

∴ x = 4 or x = -3

-3 < x < 4

But y ( \geq ) 0

∴ -3 < x ( \leq ) 4

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