Question: Solve the inequality for x. -16x ≥ -\frac{10}{3} Simplify your answer as much as possible.

Solve the inequality for x. -16x ≥ -\frac{10}{3} Simplify your answer as much as possible.

Solution

Solve the inequality for \( x \): \[ -16x \geq -\frac{10}{3} \] First, divide both sides by \(-16\). Remember, dividing by a negative number reverses the inequality sign: \[ x \leq \frac{-\frac{10}{3}}{-16} \] Simplify the right side: \[ x \leq \frac{10}{3 \times 16} \] \[ x \leq \frac{10}{48} \] Simplify \(\frac{10}{48}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2: \[ x \leq \frac{5}{24} \] So, the solution is: \[ x \leq \frac{5}{24} \]