If A - 1- 2- 3- 4- B - 1- 2- 3- 5- 6- then findi A- B- ii B- A- iii A - B- iv B - A-What do you observe-

A={1,2,3,4} B={1,2,3,5,6} (i) A∩ B={1,2,3} (ii) B∩ A={1,2,3} (iii) A B={4} (iv) B A={5,6} We observe that A ∩ B = B∩ A , but ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties of Set Operation

If A = 1, 2...

Question

If $A = {1, 2, 3, 4}, B = {1, 2, 3, 5, 6}$ , then find
(i) $A \cap B$ , (ii) $B \cap A$ , (iii) $A - B$ , (iv) $B - A$ .
What do you observe?

Open in App

Solution

$A = {1, 2, 3, 4}$
$B = {1, 2, 3, 5, 6}$
(i) $A \cap B = {1, 2, 3}$
(ii) $B \cap A = {1, 2, 3}$
(iii) $A - B = {4}$
(iv) $B - A = {5, 6}$

We observe that $A \cap B = B \cap A$ , but $A - B \neq B - A$

Suggest Corrections

Similar questions

Q. If

A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}

and

D = {7, 8, 9, 10}

; find
(i)

A \cup B

(ii)

A \cup C

(iii)

B \cup C

(iv)

B \cup D

(v)

A \cup B \cup C

(vi)

A \cup B \cup D

(vii)

B \cup C \cup D

Q. If

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 6, 7}

B = {3, 4, 5, 1}

C = {6, 7, 8, 4}

Find
(i)

{(A \cup B)}^{'} \cap {(A \cup C)}^{'}

(ii)

(C^{'} - A) - (A - C)

(iii)

(B \cap C) \cup (A \cap C)

(iv)

{(A \cup B \cup C)}^{'}

Q. If

A = 4, 6, 7, 8, 9, B = 2, 4, 6

and

C = 1, 2, 3, 4, 5, 6

, then find
(i)

A \cup (B \cap C)

(ii)

A \cap (B \cup C)

(iii)

A ∖ (C ∖ B)

Q. If

A = {3, 6, 9, 12, 15, 18, 21}; B = {4, 8, 12, 16, 20}

C = {2, 4, 6, 8, 10, 12, 14, 16}; D = {5, 10, 15, 20}

; find
(i)

A - B

(ii)

B - A

(iii)

C - A

(iv)

D - A

(v)

B - C

(vi)

B - D

(vii)

C - B

(viii)

D - B

Q. If

A = {3, 6, 9, 12, 15, 18}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12}

and

D = {5, 10, 15, 20, 25},

find
(i)

A - B

(ii)

B - C

(iii)

C - D

(iv)

D - A

(v)

n (A - C)

Join BYJU'S Learning Program

If A={1,2,3,4},B={1,2,3,5,6}, then find(i) A∩B, (ii) B∩A, (iii) A−B, (iv) B−A.What do you observe?

A={1,2,3,4}B={1,2,3,5,6}(i) A∩B={1,2,3}(ii) B∩A={1,2,3}(iii) A−B={4}(iv) B−A={5,6}We observe that A∩B=B∩A, but A−B≠B−A

If $A = {1, 2, 3, 4}, B = {1, 2, 3, 5, 6}$ , then find
(i) $A \cap B$ , (ii) $B \cap A$ , (iii) $A - B$ , (iv) $B - A$ .
What do you observe?

$A = {1, 2, 3, 4}$
$B = {1, 2, 3, 5, 6}$
(i) $A \cap B = {1, 2, 3}$
(ii) $B \cap A = {1, 2, 3}$
(iii) $A - B = {4}$
(iv) $B - A = {5, 6}$

We observe that $A \cap B = B \cap A$ , but $A - B \neq B - A$