SOLUTION: Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities. (a) x^2 - x - 12 = 0 (b) x^2 - x - 12 < 0 (c) x^2 - x - 12

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Question 869910: Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities.
(a) x^2 - x - 12 = 0
(b) x^2 - x - 12 < 0
(c) x^2 - x - 12 >0

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Solve each equation and inequality. Use set-builder or interval notation to write solution sets to the inequalities.
(a) x^2 - x - 12 = 0
(x-4)(x+3)=0
x=4
or
x=3
..
(b) x^2 - x - 12 < 0
(x-4)(x+3)<0
number line:
<.....+....-3....-.....4....+....>
solution: (-3, 4)
..
(c) x^2 - x - 12 >0
(x-4)(x+3)>0
number line:
<.....+....-3....-.....4....+....>
solution: (-∞,-3) U (4,∞)

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