Question 947633
Express the solution using interval notation.
 x^2(x^2 − 36) ≥ 0
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Factor::
x^2(x-6)(x+6) >= 0
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Draw a number line and plot x = -6, x = 0, x = 6
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Some Solutions:: x = 0, x = -6, x = 6
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Check a value in each of the intervals to find solutions for the inequality::
x^(x-6)(x+6 > =
Check x = -10:: +*-*- > 0 :: true
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Check x = -3:: +*-*+ > 0 :: false
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Check x = 3:: +*-*+ > 0 :: false
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check x = 10:: +*+*+ > 0 ;; true
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Solutions:: (-oo,-6] ; (0) ; [6,+oo)
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Cheers,
Stan H.
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