Interval Midpoint A32210

1. **State the problem:** We need to find the midpoint of the interval $40 < x \leq 50$. 2. **Recall the formula for midpoint:** The midpoint $M$ of an interval $[a, b]$ is given by $$M = \frac{a + b}{2}$$ 3. **Identify the interval endpoints:** Here, the interval is $40 < x \leq 50$, so the endpoints are $a = 40$ and $b = 50$. 4. **Calculate the midpoint:** $$M = \frac{40 + 50}{2} = \frac{90}{2}$$ 5. **Simplify the fraction:** $$M = 45$$ 6. **Interpretation:** The midpoint of the interval is $45$, which lies between $40$ and $50$. **Final answer:** The midpoint of the interval $40 < x \leq 50$ is $45$.