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Question 145555:
Solve the inequality x squar > 16 and give the answer in interval notation.
This would be x squar - 16> 0 so graph y = x squar - 16 and look for where it is above the x-axis.
I use College Algebra Book ISBN-13 978-0-618-77629-0
Thank You
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the inequality x squar > 16 and give the answer in interval notation.
x^2 - 16 > 0
(x+4)(x-4) > 0
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Draw a number line and label x=4 and x=-4
That divides the line into three intervals.
Check a test value in the inequality from
each of the intervals to see where the
solution set lies.
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If x = -10 you get (-10+4)(-10-4) >0; true so solutions in (-inf,-4)
If x = 0 you get (0-4)(0+4) >0 ; false so no solutions in (-4,4)
If x = 10 you gt (10-4)(10+4)>0 ; true so solutions in (4,+inf)
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Final Answer:
(-inf,-4)U(4,+inf)
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Cheers,
Stan H.
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