Question: Let A and B be nonempty subsets of R with AC B. Determine which of the following must be false. (a). A is bounded;

Let ( mathrm{A} ) and ( mathrm{B} ) be nonempty subsets of ( mathrm{R} ) with ( A subseteq B ). Determine which o

$For which set ( S ) in the following, sup(S)=max(S) is not true? (1). ( mathrm{S}=left{n in N: n^{2}<10right} ) (2)$

If ( mathrm{a} ) and ( mathrm{b} ) are real numbers with ( mathrm{a}<mathrm{b} ), then there exists a positive inte

Let A and B be nonempty subsets of R with AC B. Determine which of the following must be false. (a). A is bounded; B is bounded. (a). A is bounded; B is unbounded; (c). A is unbounded; B is unbounded. (d). A is unbounded; B is bounded. Question 2 For which set S in the following, sup(S)=max(S) is not true? (1). S={n EN: n < 10} (2). S={sin(x) + 42 : x R} (3): S={r E Q: r Question 3. If a and b are real numbers with a < b, then there exists a positive integer n such that na > b. A. true B. false QA OB

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