Q7 of 71 Page 23

If U = {a, b, c, d, e, f, g, h}, A = {a, b, c, d} and B = {b, d, f, g},

Find


i. A ∪ B


ii. (A ∪ B)’


iii. A ∩ B


iv. (A ∩ B)’

U = {a, b, c, d, e, f, g, h}


A = {a, b, c, d}


B = {b, d, f, g}


i. A ∪ B = {a, b, c, d, f, g} [elements that are present in either A or B]


ii. U = {a, b, c, d, e, f, g, h}


A ∪ B = {a, b, c, d, f, g}


∴ (A ∪ B)’ = {e, h} [elements that are present in U but not in A ∪ B]


iii. A ∩ B = {b, d} [elements that are present in both A and B]


iv. U = {a, b, c, d, e, f, g, h}


A ∩ B = {b, d}


∴ (A ∩ B)’ = {a, c, e, f, g, h} [elements that are present in U but not in A ∩ B]


More from this chapter

All 71 →
5

State which of the following sets are disjoint

i. A = {2, 4, 6, 8}; B = {x : x is an even number < 10, }


ii. X = {1, 3, 5, 7, 9}, Y = {0, 2, 4, 6, 8, 10}


iii. P = {x : x is a prime < 15}


Q = {x : x is a multiple of 2 and x < 16}


iv. R = {a, b, c, d, e}, S = {d, e, a, b, c}

 6

i. If U = {x : 0 ≤ x ≤ 10, } and A = {x : x is a multiple of 3}, find A’

ii. If U is the set of natural numbers and A’ is the set of all composite numbers, then what is A?

 8

If U = , A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 9, 10},

Find


i. A’


ii. B’


iii. A’ ∪ B’


iv. A’ ∩ B’

 9

Given that U = {3, 7, 9, 11, 15, 17, 18}, M = {3, 7, 9, 11} and N = {7, 11, 15, 17},

Find


i. M – N


ii. N – M


iii. N’ – M


iv. M’ – N


v. M ∩ (M – N)


vi. N ∪ (N – M)


vii. n(M – N)