Solutions From a Set

What type of set is denoted as either { } or ∅?

• Superset

• Disjointed Set

• Empty (or Null) Set

• Subset

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

• 6

• 4

• 12

• even numbers

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

• Not equal because seat has 4 letters and taste has 5 letters.

• Equivalent because they have the same letters

• Equal because each set has the same cardinality and the same letters.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

• {3, 5, 7}

• {2, 3, 5, 7}

• {2, 3, 5, 7, 9}

• {1, 2, 3, 5, 7, 9}

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

• {3, 5, 7}

• {2, 3, 5, 7}

• {2, 3, 5, 7, 9}

• {1, 2, 3, 5, 7, 9}

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

• {-4, -3, -2, -1, 0, 1, 2, 3}

• {-3, -2, -1, 1, 2, 3}

• {-4, -3, -2, -1, 1, 2, 3, 4}

• {-4, -3, -2, -1, 1, 2, 3}

If

P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

• {4}

• {4, 6}

• {4, 6, 8}

• {1, 2, 3, 4, 6, 8}

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

• {6}

• {3, 6}

• {4, 6}

• {1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

• {1,3,5}

• {1,2,3}

• {2,3,5}

• {2}

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

• {1, 3, 13, 15, 17}

• {1, 3}

• {2, 4, 6, 8, 10, 12, 14, 16}

• {1, 3, 5, 7, 9, 11, 13, 15, 17}