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a) Which of the following sets are equal? A = {a, b, c, d}, B = {d, e, a, c}, C

ID: 3577120 • Letter: A

Question

a) Which of the following sets are equal?

A = {a, b, c, d}, B = {d, e, a, c}, C = {d, b, a, c}, D = {e, a, c, d}

b) For the sets A, B, C and D above, find

A È   B =

A Ç B =

A È D =

A Ç D =

A – B =

A –   C =

C –   A =

c) Let S = {x | 3 £ x < 5}

Let U be the set of all real numbers

Find the complement of S, i.e. find Sc

d) Let the universal set be the set R of all real numbers. Let A = {x ÎR | 0 < x £ 3}, B = {x ÎR | 1 £ x £ 5}. Find each of the following:

A È B =

A Ç B =

Ac =

Bc =

Ac Ç Bc =

Ac È Bc =

(A È B) c =

(A Ç B) c =

Explanation / Answer

a)

A = {a,b,c,d}
B= {d,e,a,c}
C= {d,b,a,c}
D= {e,a,c,d}

Equal sets are those sets which have equal number of elements and same value, doesn't matter in which order.Here
A and C are equal sets as they both have four same elements which are a b c d. Set B and D are equal sets as they have four same elemenst which are a c d e.

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