Question

1) A={2,3,a,}.Write power of set A and also n(powee of A)

2) If n(A)=10, n(AUB)=15, n(B)=12.Find n(AnB).

3)What is the meaning of x € (A-B)?

4) A={1,2,4,5,a,b,}, U={1,3,4,5,6,7,8,a,b,c,d,e,f}, B={1,4,5,b,c}. Find n(A'), (AUB)' , (A-B)'.

5) What is the meaning of finite and infinite set? write one example each.

6) Write the difference between Equal and equivalent set with one example each.

7) A={x|x € W, x< 10}
B={2x|x € N, x<10}. Find (AnB) ,n(AUB)

can you please tell me the solution​

Answer 1

Answer:

1.  Power set of A = Ф(fi), {2, 3, a} , {2}, {3}, {a}, {2,3}, {3, a} , {2, a}

  n(power set) = 2ⁿ = 2³ = 8

  here n is number of elements.

2.  n(A∪B) = n(A) + n(B) - n(A∩B)

      15 = 10 + 12 - n(A∩B)

      n(A∩B) =   10 + 12 - 15

            =  7

3.  It means x belongs to (A - B)

4.  A={1,2,4,5,a,b,}, U={1,2, 3,4,5,6,7,8,a,b,c,d,e,f}, B={1,4,5,b,c}

    A' =  {3, 6, 7, 8, c, d, e, f}  ; n(A') = 8

   

   A∪ B = {1, 2, 3, 4, 5, a, b , c}

   (A∪B)'  = {6, 7, 8, d, e, f}

  A - B = {1, 2, 5, a}

 (A - B)' = {3,4, 6,7,8,a,b,c,d,e,f}

5. finite set - the set which has finite number of elements.

   Example:  {1, 2, 3, 4}

 Infinite set - The set which has infinite number of elements.

  Example: {1, 2, 3, .. .. .. .. .}

6. Equal set - The two sets which has same and equal number of elements.

For example:  A = { a, b, c}  and B = {b, c, a}

A and B are equal sets same elements and same number of elements.

Equivalent set:

Two sets have different elements but same number of elements.

For example:  A = {1, 2, 3} and B = [a, b, c}

these are equivalent because they have equal no. of elements.

7. A = { 1, 2, 3, 4, 5, 6, 7, 8, 9}

 B = { 2, 4, 6, 8}

A∩ B = {2, 4, 6, 8}

n(A) = 9 , n(B) = 4 , n(A∩B) = 4

n(A∪B) = n(A) + n(B) - n(A∩B)

             = 9 + 4 - 4

             = 9

don't forgot  to mark me brainiest  *_*