In the questions below, A = {a, b, c} and B = {b, {c}}. Mark the statement TRUE

Question

In the questions below, A = {a, b, c} and B = {b, {c}}. Mark the statement TRUE or FALSE. a) |P(A Times B)| approximately 6. b) Phi belongsto P(B). c) B subsetorequalto A. d) {c} subsetorequalto B. e) (a, b) belongsto B Times A. f) {{{c}}} subsetorequalto P(B). Let A and B be subsets of some universal set U. Determine U, A and B knowing that A- = {3, 8, 9}, A - B = {1, 2}, B - A = {8} and A Intersection B = {5, 7}. Suppose f: (0, Infinity) Rightarrow (-Infinity, 0) where f(x) = -1 - squareroot x. Is f one-to-one? Is f each case, prove that the function has the respective property or show a counterexample

Explanation / Answer

According to chegg's policy I'll be answering only 1st question.

a FALSE as |P(A X B) | = 26

b TRUE

c FALSE {c} is not an element of A

d TRUE

e FALSE as a is not in B

f TRUE.

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