Solve 1-4/7v<-7

$$1 - \frac { 4 } { 7 } v < - 7$$

Solve for v

$$v>14$$

Solution Steps

Subtract 1 from both sides.

$$-\frac{4}{7}v<-7-1$$

Subtract 1 from -7 to get -8.

$$-\frac{4}{7}v<-8$$

Multiply both sides by -\frac{7}{4}, the reciprocal of -\frac{4}{7}. Since -\frac{4}{7} is negative, the inequality direction is changed.

$$v>-8\left(-\frac{7}{4}\right)$$

Express -8\left(-\frac{7}{4}\right) as a single fraction.

$$v>\frac{-8\left(-7\right)}{4}$$

Multiply -8 and -7 to get 56.

$$v>\frac{56}{4}$$

Divide 56 by 4 to get 14.

$$v>14$$