MUN= {1,2,3,4,5,6}
M={1,3,6} THEN WHICH OF THE FOLLOWING REPRESENT N??
Answers
Step-by-step explanation:
M U N ={1,2,3,4,5,6}
{1,3,6} U N={1,2,3,4,5,6}
N={2,4,5}
Note :
★ Set : A well defined collection of distinct objects is called a set .
★ Union of two sets : The union of two sets A and B is the set of all those elements which are either in A or in B or in both .
→ This set is denoted by A U B .
★ Intersection of two sets : The intersection of two sets A and B is the set of all those elements which are in common in both A and B .
→ This set is denoted by A ∩ B .
★ 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 : MUN = { 1 , 2 , 3 , 4 , 5 , 6} and M = {1,3,6}
- To find : N = ?
We have ;
MUN = { 1 , 2 , 3 , 4 , 5 , 6 } and
M = { 1 , 3 , 6 } .
Thus ,
The set N may be :
• N = { 2 , 4 , 5 }
• N = { 1 , 2 , 4 , 5 }
• N = { 2 , 3 , 4 , 5 }
• N = { 2 , 4 , 5 , 6 }
• N = { 1 , 2 , 3 , 4 , 5 }
• N = { 1 , 2 , 4 , 5 , 6 }
• N = { 2 , 3 , 4 , 5 , 6}
• N = { 1 , 2 , 3 , 4 , 5 , 6 }
→ In all the above cases
MUN = { 1 , 2 , 3 , 4 , 5 , 6 }