Sets, Venn diagrams and set algebra

Question 1 of 10

n(A) = 28, n(B) = 14, n(A ∩ B) = 6. How many elements are in A only?

Question 2 of 10

(A′)′ = A.

Question 3 of 10

A set has 7 elements. How many subsets does it have?

Question 4 of 10

The set of elements common to A and B is

Question 5 of 10

If A ⊂ B, then A ∩ B =

Question 6 of 10

In a class of 41 students, 19 study French, 21 study Music and 6 study both. (a) Draw a Venn diagram. (b) Find the number who study French only. (c) Find the number who study neither subject.

Question 7 of 10

A set with 4 elements has 8 subsets.

Question 8 of 10

In a class of 46 students, 23 study French, 21 study Music and 6 study both. (a) Draw a Venn diagram. (b) Find the number who study French only. (c) Find the number who study neither subject.

Question 9 of 10

A ∩ B ⊆ A.

Question 10 of 10

∅ is a subset of every set.