Question 731896: What is
|3x+2|greater than equal to 4
x(x-1)(x-2)greater than 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is
|3x+2|greater than equal to 4
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3x+2 <= -4 or 3x+2 >= 4
3x <= -6 or 3x >= 2
x <= -2 or x >= 2/3
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x(x-1)(x-2)greater than 0
Draw a number line.
Plot points at 0,1,2
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Test a value in each interval:
Test x = -10 to get -*-*- > 0 ; false
Test x = 0.5 to get +*-*- > 0 ; true
Test x = 1.5 to get +*+*- > 0 ; false
Test x = 10 to get +*+*+ > 0 ; true
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Solutions: (0,1)U(2,+oo)
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cheers,
Stan H.
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