Final answer:
To solve the inequality 9h−7(2−h)<8(h+11)+8h, distribute and combine like terms, then solve for h. The solution to the inequality is (-∞, ∞), meaning h can take any real value.
Step-by-step explanation:
To solve the inequality 9h−7(2−h)<8(h+11)+8h:
Distribute the -7 to the terms inside the parentheses: 9h - 14 + 7h < 8h + 88 + 8h
Combine like terms on both sides: 16h - 14 < 16h + 88
Subtract 16h from both sides: -14 < 88
This statement is always true, so the inequality is true for all values of h.
The solution to the inequality is (-∞, ∞), which means h can take any real value.