Solve 3(x+1)<5

$$3(x+1) < 5$$

Solve for x

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

Solution Steps

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x+1<\frac{5}{3}$$

Subtract 1 from both sides.

$$x<\frac{5}{3}-1$$

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

$$x<\frac{5}{3}-\frac{3}{3}$$

Since \frac{5}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$x<\frac{5-3}{3}$$

Subtract 3 from 5 to get 2.

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