Solve the inequality. Write the solution set in interval notation.
-$\frac { x } { x + 7 } 0$
A)(0, ?)
B)(-?, -7] U[0, ?)
C)(-7, 0]
D)(-?, -7)U(0, ?)

Question

Solve the inequality. Write the solution set in interval notation.
-$\frac { x } { x + 7 } > 0$
A)(0, ?)
B)(-?, -7] U[0, ?)
C)(-7, 0]
D)(-?, -7)U(0, ?)

Quizplus · Accepted Answer

The inequality $\frac { x } { x + 7 } > 0$ holds true when either both the numerator and denominator are positive or both are negative. This happens for $x > 0$ (numerator and denominator positive) and for $x < -7$ (numerator and denominator negative). Thus, the solution set in interval notation is $(-∞, -7) \cup (0, ∞)$.

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Solve the Inequality $\frac { x } { x + 7 } > 0$