Solve 2x-1<1/3

$$2 x - 1 < \frac { 1 } { 3 }$$

Solve for x

$$x<\frac{2}{3}$$

Solution Steps

Add 1 to both sides.

$$2x<\frac{1}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$2x<\frac{1}{3}+\frac{3}{3}$$

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

$$2x<\frac{1+3}{3}$$

Add 1 and 3 to get 4.

$$2x<\frac{4}{3}$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x<\frac{\frac{4}{3}}{2}$$

Express \frac{\frac{4}{3}}{2} as a single fraction.

$$x<\frac{4}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x<\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$x<\frac{2}{3}$$