Solve -3/7m<21?

$$\frac { - 3 } { 7 } m < 21 ?$$

Solve for m

$$m>-49$$

Solution Steps

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$-\frac{3}{7}m<21$$

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

$$m>21\left(-\frac{7}{3}\right)$$

Express 21\left(-\frac{7}{3}\right) as a single fraction.

$$m>\frac{21\left(-7\right)}{3}$$

Multiply 21 and -7 to get -147.

$$m>\frac{-147}{3}$$

Divide -147 by 3 to get -49.

$$m>-49$$