SOLUTION: {{{ (12x^2-4)/((x^2-1)^3) <= 0 }}}For which of the following values of x does the inequality above hold?
a. 0
b. 3/5
c. 3/4
d. −1/2
e. −3/4
f. -10
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Question 989675: For which of the following values of x does the inequality above hold?
a. 0
b. 3/5
c. 3/4
d. −1/2
e. −3/4
f. -10
g. 1
h. −9/10
Please explain why
Thank you
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Pay most attention to the numerator. THAT needs to be less than or equal zero.
-----the critical value.
is a parabola, less than 0 AT and BETWEEN the roots.
Roots found were and ;
Rationalized, and .
ANSWER:
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Note that the denominator must not be zero, so .
Otherwise, BUT and .
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