Solve 10/7<-16w

$$\frac { 10 } { 7 } < - 16 w$$

Solve for w

$$w<-\frac{5}{56}$$

Solution Steps

Divide both sides by -16. Since -16 is negative, the inequality direction is changed.

$$\frac{\frac{10}{7}}{-16}>w$$

Express \frac{\frac{10}{7}}{-16} as a single fraction.

$$\frac{10}{7\left(-16\right)}>w$$

Multiply 7 and -16 to get -112.

$$\frac{10}{-112}>w$$

Reduce the fraction \frac{10}{-112} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{56}>w$$

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

$$w<-\frac{5}{56}$$