Question

Solve for xx: x + 1/2 < 2/3

Answer 1

Answer:

x < 1/6

Explanation:

The given inequality is:

x + 1/2 < 2/3

Subtract 1/2 from both sides of the inequality

$\begin{gathered} x+\frac{1}{2}-\frac{1}{2}<\frac{2}{3}-\frac{1}{2} \\ x<\frac{2}{3}-\frac{1}{2} \end{gathered}$

Simplify the resulting inequality

$\begin{gathered} x<\frac{4-3}{6} \\ x<\frac{1}{6} \end{gathered}$

The solution to the inequality x + 1/2 < 2/3 is x < 1/6