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

Question

Quizplus · Accepted Answer

To solve the inequality $\frac { ( x - 7 ) ( x + 7 ) } { x } \leq 0$, we first identify the critical points where the expression changes sign. These points are -7, 0, and 7. Testing intervals around these points, we find that the expression is negative for $x \in (-\infty, -7]$ and $x \in (0, 7]$. Therefore, the solution set in interval notation is $(-∞, -7] \cup (0, 7]$.

Solve the Inequality (x−7)(x+7)x≤0\frac { ( x - 7 ) ( x + 7 ) } { x } \leq 0x(x−7)(x+7)​≤0

Solve the Inequality $\frac { ( x - 7 ) ( x + 7 ) } { x } \leq 0$