Question

Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5} 1. A ∪ B {1, 2, 3, 4, 5, 6} 2. A ∪ C {2, 4} 3. A ∩ B {1, 3, 5} 4. A ∩ C null, or empty set 5. B ∩ C {1, 2, 3, 4, 5}

Answer 1

Answer:

Given sets,

A = {1, 2, 3, 4, 5},

B = {2, 4, 6},

C = {1, 3, 5}

1. A ∪ B = all elements of sets A and B

= {1, 2, 3, 4, 5, 6}

2. A ∪ C = all elements of sets A and C,

= {1, 2, 3, 4, 5}

3. A ∩ B = common elements of sets A and B

= { 2, 4 }

4. A ∩ C = common elements of sets A and C

= { 1, 3, 5}

5. B ∩ C = common elements of sets B and C

= ∅ ( null or empty sets )

Answer 2

1. $A\cup B = \{1,2,3,4,5,6\}$
2. $A\cup C = \{1,2,3,4,5\}$
3. $A\cap B= \{2,4\}$
4. $A\cap C= \{1,3,5\}$
5. $B\cap C= \{\} = null = \emptyset$