Solve 9-10v/7geq-7

$$9 - \frac { 10 v } { 7 } \geq - 7$$

Solve for v

$$v\leq \frac{56}{5}$$

Solution Steps

Multiply both sides of the equation by 7. Since 7 is positive, the inequality direction remains the same.

$$63-10v\geq -49$$

Subtract 63 from both sides.

$$-10v\geq -49-63$$

Subtract 63 from -49 to get -112.

$$-10v\geq -112$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$v\leq \frac{-112}{-10}$$

Reduce the fraction \frac{-112}{-10} to lowest terms by extracting and canceling out -2.

$$v\leq \frac{56}{5}$$