Solve 6<-4/7u

$$6 < - \frac { 4 } { 7 } u$$

Solve for u

$$u<-\frac{21}{2}$$

Solution Steps

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

$$6\left(-\frac{7}{4}\right)>u$$

Express 6\left(-\frac{7}{4}\right) as a single fraction.

$$\frac{6\left(-7\right)}{4}>u$$

Multiply 6 and -7 to get -42.

$$\frac{-42}{4}>u$$

Reduce the fraction \frac{-42}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{21}{2}>u$$

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

$$u<-\frac{21}{2}$$