Solve the inequality. Write the solution set in interval notation.
-$\frac { - 3 } { - 5 x - 6 } 0$
A) $\left. - \infty , \frac { 6 } { 5 } \right)$
B) $\left( - \infty , - \frac { 5 } { 6 } \right)$
C)(0, ?)
D) $\left( - \frac { 6 } { 5 } , \infty \right)$

Question

Solve the inequality. Write the solution set in interval notation.
-$\frac { - 3 } { - 5 x - 6 } > 0$
A) $\left. - \infty , \frac { 6 } { 5 } \right)$
B) $\left( - \infty , - \frac { 5 } { 6 } \right)$
C)(0, ?)
D) $\left( - \frac { 6 } { 5 } , \infty \right)$

Quizplus · Accepted Answer

The inequality $\frac{-3}{-5x-6} > 0$ simplifies to $\frac{3}{5x+6} > 0$. The denominator $5x+6$ is positive when $x > -\frac{6}{5}$, hence the solution is $x > -\frac{6}{5}$, which is represented by the interval notation $\left( -\frac{6}{5}, \infty \right)$.

Solve the Inequality −3−5x−6>0\frac { - 3 } { - 5 x - 6 } > 0−5x−6−3​>0

Solve the Inequality $\frac { - 3 } { - 5 x - 6 } > 0$