To solve the inequality, we need to isolate x on one side of the inequality sign. Here's how we can do it:
x/5 - 4 > -3 (original inequality)
Add 4 to both sides to get rid of the -4 on the left side:
x/5 - 4 + 4 > -3 + 4
Simplify:
x/5 > 1
Multiply both sides by 5 to get rid of the 1/5 on the left side:
x/5 * 5 > 1 * 5
Simplify:
x > 5
Therefore, the solution to the inequality is x > 5. We can write this using interval notation as (5, infinity) or using set-builder notation as x > 5.