$\frac { - 6 x + 2 } { 6 x ^ { 2 } + 6 } 0$ A) $x

Name: $\frac { - 6 x + 2 } { 6 x ^ { 2 } + 6 } > 0$ A) $x - \frac { 1 } { 3 }$ D) $x < 0$
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Question

$\frac { - 6 x + 2 } { 6 x ^ { 2 } + 6 } > 0$ A) $x < \frac { 1 } { 3 }$ B) $x < - 3$ C) $x > - \frac { 1 } { 3 }$ D) $x < 0$

Quizplus · Accepted Answer

The expression is positive when the numerator is negative and the denominator is positive. The numerator is negative when $x < \frac { 1 } { 3 }$. The denominator is positive for all values of $x$ except $x = 0$. Therefore, the expression is positive when $x < \frac { 1 } { 3 }$.

−6x+26x2+6>0\frac { - 6 x + 2 } { 6 x ^ { 2 } + 6 } > 06x2+6−6x+2​>0

$\frac { - 6 x + 2 } { 6 x ^ { 2 } + 6 } > 0$