Question

solve the inequality for y.
\\(-\frac{2y}{7} > 8\\)
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 7

To eliminate the denominator, multiply both sides of the inequality \(-\frac{2y}{7} > 8\) by 7. This gives \(-2y > 8\times7\), which simplifies to \(-2y > 56\).

Step2: Divide by -2 (reverse inequality)

When dividing an inequality by a negative number, the direction of the inequality sign reverses. Divide both sides of \(-2y > 56\) by -2. So we get \(y < \frac{56}{-2}\), which simplifies to \(y < -28\).

Answer:

\(y < -28\)