CHAPTER 1 SET LANGUAGE

Which of the following is correct?

• {7} ∈ {1,2,3,4,5,6,7,8,9,10}

• 7 ∈ {1,2,3,4,5,6,7,8,9,10}

• 7 ∉ {1,2,3,4,5,6,7,8,9,10}

• {7}⊈{1,2,3,4,5,6,7,8,9,10}

The set P = {x | x ∈ Z , –1< x < 1} is a

• Singleton set

• Power set

• Null set

• Subset

If U ={x | x ∈ N , x < 10} and A = {x | x ∈ N , 2 ≤ x < 6} then (A′)′ is

• {1, 6, 7, 8, 9}

• {1, 2, 3, 4}

• {2, 3, 4, 5}

• { }

If B⊆ A then n(A∩B) is

• n(A–B)

• n(B)

• n(B – A)

• n(A)

If A = {x, y, z} then the number of non- empty subsets of A is

• 8

• 5

• 6

• 7

Which of the following is correct?

• ∅ ⊆ {a, b}

• ∅ ∈ {a, b}

• {a} ∈ {a, b}

• a ⊆ {a, b}

If A∪B = A∩B, then

• A≠B

• A = B

• A ⊂ B

• B ⊂ A

If B – A is B, then A∩B is

• A

• B

• U

• ∅

From the adjacent diagram n[P(A∆B)] is

• 8

• 16

• 32

• 64

If n(A) = 10 and n(B) = 15, then the minimum and maximum number of elements in A ∩ B is

• 10,15

• 15,10

• 10,0

• 0,10