x < 1/6
Explanation:The given inequality is:
x + 1/2 < 2/3
Subtract 1/2 from both sides of the inequality
[tex]\begin{gathered} x+\frac{1}{2}-\frac{1}{2}<\frac{2}{3}-\frac{1}{2} \\ x<\frac{2}{3}-\frac{1}{2} \end{gathered}[/tex]Simplify the resulting inequality
[tex]\begin{gathered} x<\frac{4-3}{6} \\ x<\frac{1}{6} \end{gathered}[/tex]The solution to the inequality x + 1/2 < 2/3 is x < 1/6
