Question: Use the field axioms a. 0 <1 b. to show that If x > 0,> 0; and if x < 0, <0. c. If

Use the field axioms a. 0 <1 b. to show that If x > 0,> 0; and if x < 0, <0. c. If x 0, and if for every >

Use the field axioms a. 0 0,> 0; and if x < 0, 0,x , x = 0. 2. Let S be a nonempty subset of R and let k E R. Let kS = {ksls S}. Prove a. If k> 0, then sup kS = ksup S b. If k < 0, then sup kS = k inf S 3. Find the interior and the boundary of each set. a. {:nEN} b. [1,4] U (4,5) c. {re Q:0

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