Solve 22(w+13)>11

$$22 ( w + 13 ) > 11$$

Solve for w

$$w>-\frac{25}{2}$$

Solution Steps

Divide both sides by 22. Since 22 is positive, the inequality direction remains the same.

$$w+13>\frac{11}{22}$$

Reduce the fraction \frac{11}{22} to lowest terms by extracting and canceling out 11.

$$w+13>\frac{1}{2}$$

Subtract 13 from both sides.

$$w>\frac{1}{2}-13$$

Convert 13 to fraction \frac{26}{2}.

$$w>\frac{1}{2}-\frac{26}{2}$$

Since \frac{1}{2} and \frac{26}{2} have the same denominator, subtract them by subtracting their numerators.

$$w>\frac{1-26}{2}$$

Subtract 26 from 1 to get -25.

$$w>-\frac{25}{2}$$