Solve the inequality and 18gt 5(h-3)-7

To solve the inequality $18 > 5(h-3) - 7$, we need to isolate the variable $h$.<br /><br />Step 1: Distribute the 5 on the right side of the inequality:<br />$18 > 5h - 15 - 7$<br /><br />Step 2: Combine like terms on the right side:<br />$18 > 5h - 22$<br /><br />Step 3: Add 22 to both sides of the inequality:<br />$40 > 5h$<br /><br />Step 4: Divide both sides by 5:<br />$8 > h$<br /><br />Therefore, the solution to the inequality is $h < 8$.