For which interval does this quadratic inequality hold true? x²-4x-12 ≤0 A. (2,-6) B. (0,4) C. (-2, 2) D. (-2, 6)

Eddie Martinez asked May 28, 2023

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For which interval does this quadratic inequality hold true?

x²-4x-12 ≤0
A. (2,-6)
B. (0,4)
C. (-2, 2)
D. (-2, 6)

Eddie Martinez asked May 28, 2023

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29 votes

Answer:

Explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

Aerials answered Jun 4, 2023

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