Show that all x satisfying 0<|x−a|<δ is equivalent to the union (a−δ,a)∪(a,a+δ) where a is any real number and δ>0.
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Lesson Parent:
Problem:
Show that all x satisfying 0<|x−a|<δ is equivalent to the union (a−δ,a)∪(a,a+δ) where a is any real number and δ>0.
Answer:
It is true that 0<|x−a|<δ is equivalent to the union (a−δ,a)∪(a,a+δ).
