Question 137548
Solve.
(x-4)(x+2)>or=0
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1st: Solve the EQUALITY:
x=4 or x=-2
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2nd: Solve the INEQUALITY:
Draw a number line; mark x=-2 and x=4 on the line.
Test a value from each of the three intervals on the line in (x-4)(x+2)>0
If x=-100 you get -*->0 which is true, so solutions in (-inf,-2)
If x=3 you get -*+ >0 which is false, so no solutions in (-2,4)
If x = 100 you get +*+>0 which is true, so solutions in (4,+inf)
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Final answer for equality and inequality: (-inf,-2] or {4,+inf)
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Cheers,
Stan H.