Solve 6leq-3/2d

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

Solve for d

$$d\leq -4$$

Solution Steps

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

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

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

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

Multiply 6 and -2 to get -12.

$$\frac{-12}{3}\geq d$$

Divide -12 by 3 to get -4.

$$-4\geq d$$

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

$$d\leq -4$$