Solve 1x-11>1/3

$$1 x - 11 > \frac { 1 } { 3 }$$

Solve for x

$$x>\frac{34}{3}$$

Solution Steps

Add 11 to both sides.

$$1x>\frac{1}{3}+11$$

Convert 11 to fraction \frac{33}{3}.

$$1x>\frac{1}{3}+\frac{33}{3}$$

Since \frac{1}{3} and \frac{33}{3} have the same denominator, add them by adding their numerators.

$$1x>\frac{1+33}{3}$$

Add 1 and 33 to get 34.

$$1x>\frac{34}{3}$$

Divide both sides by 1. Since 1 is positive, the inequality direction remains the same.

$$x>\frac{\frac{34}{3}}{1}$$

Express \frac{\frac{34}{3}}{1} as a single fraction.

$$x>\frac{34}{3\times 1}$$

Multiply 3 and 1 to get 3.

$$x>\frac{34}{3}$$