Solve 8geq-6/7w

$$8 \geq - \frac { 6 } { 7 } w$$

Solve for w

$$w\geq -\frac{28}{3}$$

Solution Steps

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

$$8\left(-\frac{7}{6}\right)\leq w$$

Express 8\left(-\frac{7}{6}\right) as a single fraction.

$$\frac{8\left(-7\right)}{6}\leq w$$

Multiply 8 and -7 to get -56.

$$\frac{-56}{6}\leq w$$

Reduce the fraction \frac{-56}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{28}{3}\leq w$$

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

$$w\geq -\frac{28}{3}$$