Solve -5/2geqv/8

$$- \frac { 5 } { 2 } \geq \frac { v } { 8 }$$

Solve for v

$$v\leq -20$$

Solution Steps

Multiply both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$-\frac{5}{2}\times 8\geq v$$

Express -\frac{5}{2}\times 8 as a single fraction.

$$\frac{-5\times 8}{2}\geq v$$

Multiply -5 and 8 to get -40.

$$\frac{-40}{2}\geq v$$

Divide -40 by 2 to get -20.

$$-20\geq v$$

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

$$v\leq -20$$