Solve -9>-2-3/4v

$$- 9 > - 2 - \frac { 3 } { 4 } v$$

Solve for v

$$v>\frac{28}{3}$$

Solution Steps

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

$$-2-\frac{3}{4}v<-9$$

Add 2 to both sides.

$$-\frac{3}{4}v<-9+2$$

Add -9 and 2 to get -7.

$$-\frac{3}{4}v<-7$$

Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}. Since -\frac{3}{4} is negative, the inequality direction is changed.

$$v>-7\left(-\frac{4}{3}\right)$$

Express -7\left(-\frac{4}{3}\right) as a single fraction.

$$v>\frac{-7\left(-4\right)}{3}$$

Multiply -7 and -4 to get 28.

$$v>\frac{28}{3}$$