Solve 4-5/3xgeq-6

$$4 - \frac { 5 } { 3 } x \geq - 6$$

Solve for x

$$x\leq 6$$

Solution Steps

Subtract 4 from both sides.

$$-\frac{5}{3}x\geq -6-4$$

Subtract 4 from -6 to get -10.

$$-\frac{5}{3}x\geq -10$$

Multiply both sides by -\frac{3}{5}, the reciprocal of -\frac{5}{3}. Since -\frac{5}{3} is negative, the inequality direction is changed.

$$x\leq -10\left(-\frac{3}{5}\right)$$

Express -10\left(-\frac{3}{5}\right) as a single fraction.

$$x\leq \frac{-10\left(-3\right)}{5}$$

Multiply -10 and -3 to get 30.

$$x\leq \frac{30}{5}$$

Divide 30 by 5 to get 6.

$$x\leq 6$$