Set Mid Quiz

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.

• A = {2, 4}

• B = {13, 7, 9, 11, 5, 3, 1}

• C = {2, 3, 4, 5}

• D = {0}

Answer explanation

The correct subset of U is B because it contains all the elements of U.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ P

• True

• False

Answer explanation

R is a subset of P because all elements of R (3 and 5) are also present in P (3, 5, 7, 9, 11). Therefore, the statement 'R ⊂ P' is true.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then Q ⊂ P

• True

• False

Answer explanation

Q is not a subset of P because Q contains elements (9, 11) that are not present in P.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ S

• True

• False

Answer explanation

The set R is not a subset of set S because R contains elements 3 and 5 which are not present in set S.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then S ⊂ Q

• True

• False

Answer explanation

Since S is a subset of Q, the statement 'S ⊂ Q' is true.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then S ⊂ Q

• True

• False

Answer explanation

Since S is a subset of Q, the statement 'S ⊂ Q' is true.

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

• Superset

• Empty (or Null) Set

• Disjointed Set

• Subset

Answer explanation

The type of set denoted as either { } or ∅ is the Empty (or Null) Set. It is a set with no elements.

Find n(A) when
A = {14, 16, 18, 20, 22, 24}

• 6

• 12

• 4

• 8

Answer explanation

n(A) represents the number of elements in set A. In this case, A has 6 elements: 14, 16, 18, 20, 22, and 24. Therefore, n(A) = 6, which matches the correct answer choice.

How many subsets will this set have? A= {a, b, c} ?

• 8

• 6

• 3

• 0

Answer explanation

The set A = {a, b, c} will have 8 subsets.

If every element in set A is also in set B, then...

• A is a subset of B

• B is a subset of A

• A = B

• A and B are disjoint

Answer explanation

If every element in set A is also in set B, then A is a subset of B.