Answer:
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
