Prove that for any real numbers $a$ and $\delta\gt 0$ that the interval $(a-\delta,a+\delta)$ contains the closed interval $[a-\delta/2,a+\delta/2]$.
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Lesson Parent:
Problem:
Prove that for any real numbers $a$ and $\delta\gt 0$ that the interval $(a-\delta,a+\delta)$ contains the closed interval $[a-\delta/2,a+\delta/2]$.
Answer:
It is true that for any real numbers $a$ and $\delta\gt 0$ that the interval $(a-\delta,a+\delta)$ contains the closed interval $[a-\delta/2,a+\delta/2]$.