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Understanding Analysis Solutions
1.2. SOME PRELIMINARIES 3 (c)First let x∈(A∪B)c implying x /∈A∪Bmeaning x /∈Aand x /∈Bwhich is the same as x∈Acand x∈B cwhich is just x∈Ac∩B.Second let x∈Ac∩Bcimplying x∈Ac and x∈Bc implying x /∈Aand x /∈Bmeaning x /∈A∪Bwhich is just x∈(A∪B)c. Exercise 1.2.6 (a)Verify the triangle inequality in the special case where aand bhave the same sign.
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