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Solve the inequality 9h−7(2−h)<8(h+11)+8h and write the solution in interval notation?

User Ahmad Farid
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1 Answer

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16 votes

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.

User Shekh Akther
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