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Keenan Butler
Mathematics
9 January, 00:28
Solve the inequality: (x+3) (x-4) <-12
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Quincy
9 January, 00:47
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Step-by-step explanation:
(x+3) (x-4) <-12
FOIL
x^2 - 4x+3x - 12 <-12
x^2 - x - 12 <-12
Add 12 to each side
x^2 - x - 12+12 <-12+12
x^2 - x <0
Factor out an x
x (x-1) <0
Using the zero product property
x (x-1) = 0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x (x-1) <0
- * - >0
False
0
x (x-1) <0
+ * - <0
True
x>1
x (x-1) <0
+ * + >0
False
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