Solve 0>6-2/3d

$$0 > 6 - \frac { 2 } { 3 } d$$

Solve for d

$$d>9$$

Solution Steps

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

$$6-\frac{2}{3}d<0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{2}{3}d<-6$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}. Since -\frac{2}{3} is negative, the inequality direction is changed.

$$d>-6\left(-\frac{3}{2}\right)$$

Express -6\left(-\frac{3}{2}\right) as a single fraction.

$$d>\frac{-6\left(-3\right)}{2}$$

Multiply -6 and -3 to get 18.

$$d>\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$d>9$$