Consider the sets:U = {1, 2, {1}, {2}, {1, 2}}     A = {1, 2, {1}}      B = {{1}, {1, 2}}     C = {2, {1}, {2}}A ⋂ C is the set:a.{2, {1, 2}}b.{1, 2, {1}}c.{2, {1}, {2}}d.{2, {1}}

U = {1, 2, {1}, {2}, {1, 2}}      A = {1, 2, {1}}       B = {{1}, {1, 2}}       C = {2, {1}, {2}}.Which one of the following sets represents both Ƥ (A) ⋂ Ƥ (B) and Ƥ (A ⋂ B)?a.{{1}}b.{⊘, {{1}}}c.{⊘, {1}}d.Not one of the above alternatives since Ƥ (A) ⋂ Ƥ (B) ≠ Ƥ (A ⋂ B)

U = {1, 2, {1}, {2}, {1, 2}}       A = {1, 2, {1}}      B = {{1}, {1, 2}}       C = {2, {1}, {2}}.Which one of the following is a subset of Ƥ (A)?(Remember, subsets of some set G can be formed by keeping the outside brackets of G and then throwing away none, one or more elements of G. Refer to study guide, p 40.)a.{1}b.{1, 2, {1, 2}}c.{{{1}}}d.{{{2}}}

U = {1, 2, {1}, {2}, {1, 2}}      A = {1, 2, {1}}       B = {{1}, {1, 2}}     C = {2, {1}, {2}}.Which one of the following statements is valid if x ∉ B U C? (Hint: Determine U – (B U C).)a.x ∈ {1}.b.x ∈ ⊘.c.x ∈ {1, 2}.d.x ∈ B and x ∈ C.

U = {a, b, c, d, e}    A = {d, e}    B = {a, b, c}.Which one of the following statements regarding the sets U, A and B is TRUE?a.| Ƥ (U) | = | Ƥ (A) | + | Ƥ (B)|b.⊘ ⊂ Ƥ (A) and ⊘ ⊂ Ƥ (B)c.U – A = A – Ud.A + B = U

U = {a, b, c, d, e}    A = {d, e}    B = {a, b, c}.Which one of the following statements regarding the given sets is FALSE?a.A’ – U = {d, e}b.(A ⋂ B) + U = {a, b, c, d, e}c.(U ⋂ B’) = B’d.(U – A) + B = U – (A + B)