Q2 of 50 Page 14

Write a description of each shaded area. Use symbols U, A, B, C,â,∩, ’ and as necessary

(i)


(ii)


(iii)


(iv)

(i) A' U (AB) or (A/B)'


(ii) (AB) U (AC)


(iii) A / (B U C)


(iv) (A B) / C


More from this chapter

All 50 →
11

For A = {- 3,- 1, 0, 4,6,8,10}, B = {- 1,- 2, 3,4,5,6} and C = {- 1, 2,3,4,5,7}, show that

(ii) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)


(iv) Verify (ii) using Venn diagram.

 1

Represent the following using Venn diagrams

(i) U = {5,6,7,8, ......13}, A = {5,8,10,11}, and B = {5,6,7,9,10}


(ii) U = {a, b, c, d, e, f, g, h}, M = {b, d, f, g}, and N = {a, b, d, e, g}

 3

Draw Venn diagram of three sets A,B and C illustrating the following:

(i) A ∩ B ∩ C


(ii) A and B are disjoint but both are subsets of C


(iii) A ∩ (BC)


(iv) (B ∪ C)A


(v) A∪(B ∪ C)


(vi) C ∪ (BA)


(vii) C ∩ (B ∪ A)

 4

Use Venn diagram to verify (A ∩ B) ∪ (AB) = A.