3. Suppose U = {1,2,3,4,5,6,7,8,9,10} is the universal set and Q = {3,6,9}. What is Q'?

A.{3,6,9}

B.{4,5,7,8}

C.{1,2,4,5,7,8,10}

D.{1,2,3,4,5,6,7,8,9,10}

4. Suppose U = {1,2,3,4,5,6,7,8}, A = (1,3,5,7), and B = {4,5,6}. Tell whether each statement is true or false.

A c B

_

A.

True

B. False

3. Q' = {1, 2, 4, 5, 7, 8, 10} ⇒ answer C

4. A ⊂ B is False ⇒ answer B

Step-by-step explanation:

3.

- The universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

- The set Q = {3, 6, 9}

- We need to find the complement of set Q (Q')

- The complement set of Q is the set of all elements belongs to the

universal set U but does not belong to the set Q

- That means take off all the elements belongs to set Q from the

universal set U

∵ U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

∵ Q = {3, 6, 9}

- Cancel from set U the elements 3, 6, 9

∴ Q' = {1, 2, 4, 5, 7, 8, 10}

4.

- The universal set U = {1, 2, 3, 4, 5, 6, 7, 8}

- The set A = {1, 3, 5, 7}

- The set B = {4, 5, 6}

- A ⊂ B means every element in set A belongs to set B

∵ A = {1, 3, 5, 7}

∵ B = {4, 5, 6}

∵ The elements in set A ∉ in set B

∴ A ⊂ B is False