class lecture notes 8

Section 3. Sets (LECTURE NOTES 8) 131(a) Figure (a), difference A−C, elements of A not in C:{x : (x ∈ A) and (x ∕∈ C)} / {x : (x ∈ U) and (x ∕∈ C)}(b) Figure (b), complement of C, C ′ , elements of U not in C:{x : (x ∈ A) and (x ∕∈ C)} / {x : (x ∈ U) and (x ∕∈ C)}4. More Venn diagrams.U U UE E EGGGF F F88 8(a) (b) (c)Figure 7.3(More Venn diagrams)(a) Shading in figure (a):(E − G) ∪(F − G) ∪ (E ∩ F) / (E ∩ F)∪(E ∩ G) / (E ∪ F) ′(b) Shading in figure (b):(E − G) ∪(F − G) ∪ (E ∩ F) / (E ∩ F)∪(E ∩ G) / (E ∪ F) ′(c) Shading in figure (c):(E − G) ∪(F − G) ∪ (E ∩ F) / (E ∩ F)∪(E ∩ G) / (E ∪ F) ′(d) True / False. E −G = E ∩G ′ and F −G = F ∩G ′5. Word problem. Of students registered at PNC, let D represent those who aredisabled, I those who own an iPhone and T those who tweet.DU U UDDTTTIII(a) (b) (c)Figure 7.4(Students at PNC)