Solve 10geq17-7/6v

$$10 \geq 17 - \frac { 7 } { 6 } v$$

Solve for v

$$v\geq 6$$

Solution Steps

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

$$17-\frac{7}{6}v\leq 10$$

Subtract 17 from both sides.

$$-\frac{7}{6}v\leq 10-17$$

Subtract 17 from 10 to get -7.

$$-\frac{7}{6}v\leq -7$$

Multiply both sides by -\frac{6}{7}, the reciprocal of -\frac{7}{6}. Since -\frac{7}{6} is negative, the inequality direction is changed.

$$v\geq -7\left(-\frac{6}{7}\right)$$

Multiply -7 times -\frac{6}{7}.

$$v\geq 6$$