Solve 13leq4-3/7v

$$13 \leq 4 - \frac { 3 } { 7 } v$$

Solve for v

$$v\leq -21$$

Solution Steps

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

$$4-\frac{3}{7}v\geq 13$$

Subtract 4 from both sides.

$$-\frac{3}{7}v\geq 13-4$$

Subtract 4 from 13 to get 9.

$$-\frac{3}{7}v\geq 9$$

Multiply both sides by -\frac{7}{3}, the reciprocal of -\frac{3}{7}. Since -\frac{3}{7} is negative, the inequality direction is changed.

$$v\leq 9\left(-\frac{7}{3}\right)$$

Express 9\left(-\frac{7}{3}\right) as a single fraction.

$$v\leq \frac{9\left(-7\right)}{3}$$

Multiply 9 and -7 to get -63.

$$v\leq \frac{-63}{3}$$

Divide -63 by 3 to get -21.

$$v\leq -21$$