Question

4. Let X = {2,4,5,6). Y = {3,4,7,8) and Z= {5,6,7,8). Find:
a) (X-Y)
b) (Y - X)
c) (Y- Z)
d) (Z-Y)
​

Answer 1

Answer:

a 2,5,6

b 3,7,8

c 3,4

d 5,6

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Answer 2

Answer :

a). X - Y = { 2 , 5 , 6 }

b). Y - X = { 3 , 7 , 8 }

c). Y - Z = { 3 , 4 }

d). Z - Y = { 5 , 6 }

Note :

★ Difference of sets : The difference of two sets A and B in the order ( also called relative complement of B in A ) is the set of all those elements of A which are not the elements of B .

→ It is denoted by (A - B) .

Solution :

★ Given :

• X = { 2 , 4 , 5 , 6 }

• Y = { 3 , 4 , 7 , 8 }

• Z = { 5 , 6 , 7 , 8 }

★ To find :

a). X - Y

b). Y - X

c). Y - Z

d). Z - Y

a). X - Y = ?

=> X - Y = { 2 , 4 , 5 , 6 } - { 3 , 4 , 7 , 8 }

=> X - Y = { 2 , 5 , 6 }

b). Y - X = ?

=> Y - X = { 3 , 4 , 7 , 8 } - { 2 , 4 , 5 , 6 }

=> Y - X = { 3 , 7 , 8 }

c). Y - Z = ?

=> Y - Z = { 3 , 4 , 7 , 8 } - { 5 , 6 , 7 , 8 }

=> Y - Z = { 3 , 4 }

d). Z - Y = ?

=> Z - Y = { 5 , 6 , 7 , 8 } - { 3 , 4 , 7 , 8 }

=> Z - Y = { 5 , 6 }