Subjects algebra

Hours Inequality Ad1F40

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1. **State the problem:** Tara worked hours in four weeks last month: 16.5, 19, 23, and 15.75. We want to find an inequality representing the number of hours $h$ she plans to work this month, which must be more than last month. 2. **Calculate total hours last month:** $$16.5 + 19 + 23 + 15.75 = 74.25$$ 3. **Form the inequality:** Since Tara plans to work more hours this month than last month, the inequality is: $$h > 74.25$$ 4. **Interpret the options:** - Ⓐ $\leq 16.5$ (incorrect, too small) - Ⓑ $< 75$ (incorrect, less than 75 means less or equal to 74.999...) - Ⓒ $\geq 74.25$ (incorrect, this includes equal hours, but she plans to work more) - Ⓓ $> 23$ (incorrect, 23 is just one week's hours, not total) 5. **Final answer:** $$\boxed{h > 74.25}$$ This matches option Ⓒ if it were strict inequality, but since Ⓒ is $\geq$, the correct strict inequality is $h > 74.25$. Hence, the inequality representing Tara's planned hours is $h > 74.25$.