Let A and B be nonempty subsets of R with AC B. Determine which of the...

 
 

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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: n² < 10} (2). S={sin(x) + 42 : x € R} (3): S={r E Q: r² <≤ 2} (4). S= {x ER: x² ≤ 2} O (1) (2) (3) (4) 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 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: n² < 10} (2). S={sin(x) + 42 : x € R} (3): S={r E Q: r² <≤ 2} (4). S= {x ER: x² ≤ 2} O (1) (2) (3) (4) 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