SOLUTION: Please help me solve the following:
Solve the rational inequality. Express your answer using interval notation.
(2x)/(x^2 + 16) ≤ 0
I think that I need to factor the
Question 1001185: Please help me solve the following:
Solve the rational inequality. Express your answer using interval notation.
(2x)/(x^2 + 16) ≤ 0
I think that I need to factor the bottom and make it: (2x)/(x+4)(x-4) but I'm not sure where to go from there. Please show work. Thank you!
cannot be factored as .
You are confusing with which can
be factored that way.
But Since 2 is positive and is always positive,
we can divide both sides by 2 and multiply both sides by
and get which in interval notation
is
Edwin
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! Solve the rational inequality. Express your answer using interval notation.
(2x)/(x^2 + 16) ≤ 0
I think that I need to factor the bottom and make it: (2x)/(x+4)(x-4) but I'm not sure where to go from there. Please show work. Thank you!
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Note: Solve for the equality::
2x = 0
x = 0
That is part of the solution.
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Note: Solve the inequality::
2x and (x^2+16) MUST have opposite signs.
But x^2+16 is never negative.
So 2x MUST be negative
2x < 0 when x < 0
That is also part of the solution.
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Ans: x <= 0
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Cheers,
Stan H.
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