Solve 6geq-4/9u

$$6 \geq - \frac { 4 } { 9 } u$$

Solve for u

$$u\geq -\frac{27}{2}$$

Solution Steps

Multiply both sides by -\frac{9}{4}, the reciprocal of -\frac{4}{9}. Since -\frac{4}{9} is negative, the inequality direction is changed.

$$6\left(-\frac{9}{4}\right)\leq u$$

Express 6\left(-\frac{9}{4}\right) as a single fraction.

$$\frac{6\left(-9\right)}{4}\leq u$$

Multiply 6 and -9 to get -54.

$$\frac{-54}{4}\leq u$$

Reduce the fraction \frac{-54}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{27}{2}\leq u$$

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

$$u\geq -\frac{27}{2}$$