Subjects algebra

Inequality Solution 57Bd37

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Inequality Solution 57Bd37


1. **State the problem:** Jennifer thinks of a number $h$. She triples it and then subtracts 11 to get an answer that is less than 34. 2. **Write the inequality:** Tripling $h$ means multiplying by 3, then subtracting 11, so the inequality is: $$3h - 11 < 34$$ 3. **Solve the inequality:** Add 11 to both sides: $$3h - 11 + 11 < 34 + 11$$ $$3h < 45$$ Divide both sides by 3: $$h < 15$$ 4. **Interpretation:** The possible values of $h$ are all numbers less than 15. This means $h$ can be any number smaller than 15 but not equal to 15.