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1. Sets
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Q30 of 44 Page 1

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?


R – Q is the set of all irrational numbers.

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28
Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find
(i)     A – B
(ii)    A – C
(iii)   A – D
(iv)   B – A
(v)    C – A
(vi)   D – A
(vii)  B – C
(viii) B – D
(ix)   C – B
(x)    D – B
(xi)   C – D
(xii)  D – C

29
If X = {a, b, c, d} and Y = {f, b, d, g}, find (i) X – Y (ii) Y – X (iii) X ∩ Y

31
State whether each of the following statements is true or false. Justify your answer.
(i) {2, 3, 4, 5} and {3, 6} are disjoint sets
(ii) {a, e, i, o, u} and {a, b, c, d} are disjoint sets
(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoints sets
(iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.

32
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}.        
Find 
(i) A’
(ii) B’
(iii) (A ∩ C)’
(iv) (A ∪ B)’
(v) (A‘)’
(vi) (B - C)’

Questions · 44
1. Sets
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