To solve the inequality 1/2x + 5 > 8, we need to isolate the variable x. Here are the steps to solve for x:
1. Subtract 5 from both sides of the inequality:
1/2x + 5 - 5 > 8 - 5
1/2x > 3
2. Multiply both sides of the inequality by 2 to get rid of the fraction:
2 * (1/2x) > 2 * 3
x > 6
Therefore, the solution to the inequality is x > 6. This means that any value of x greater than 6 will make the inequality true.