Find the following statements.

1) 2 ∈ A .

2) 3 ∉ A.

3) A ⊂ U.

4) A ⊄ B .

5) A ≅ B.

A ∩ B ,A ∪ B

U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {0, 2, 4, 6, 8} B = {0, 1, 2, 3, 4}

**Solution:-**

Statements 1 through 5 are all true.

1) 2 ∈ A 2 is an element of A

2) 3 ∉ A 3 is not an element of A

3) A ⊂ U A is a proper subset of U

4) A ⊄ B A is not a subset of B

5) A ≅ B A is equivalent to B, both sets contain 5 elements

A ∩ B = {0, 2, 4} all elements in A and B; what the sets have in common

A ∪ B = {0, 1, 2, 3, 4, 6, 8} all elements in A or B; combine the sets, don’t list anything twice