Solve 5geq17+4v/9

$$5 \geq 17 + \frac { 4 v } { 9 }$$

Solve for v

$$v\leq -27$$

Solution Steps

Multiply both sides of the equation by 9. Since 9 is positive, the inequality direction remains the same.

$$45\geq 153+4v$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$153+4v\leq 45$$

Subtract 153 from both sides.

$$4v\leq 45-153$$

Subtract 153 from 45 to get -108.

$$4v\leq -108$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$v\leq \frac{-108}{4}$$

Divide -108 by 4 to get -27.

$$v\leq -27$$