Let I(x) := x2 for x E IR,andlet E := {x E IR: -1 :::x :::O}and F := {x EIR: 0::: x ::
Chapter 1, Problem 10(choose chapter or problem)
Let I(x) := x2 for x E IR,andlet E := {x E IR: -1 :::x :::O}and F := {x EIR: 0::: x ::: I}. Show that En F = (OJ and I(E n F) = (OJ, while I(E) = I(F) = {y E IR: 0 ::: y ::: I}. HenceI (E n F) isapropersubsetof f (E) n I (F). Whathappensif 0 is deletedfromthe sets E and F? 1
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