If two sets A and B are such that A - B - A- then A - B -A- -B- AC- BD- A - B

The correct option is A ϕA − B = A ⇒ A − (A ∩ B) = A ⇒ A ∩ B = ϕ ...

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

Byju's Answer

Standard XII

Mathematics

Difference of Two Sets

If two sets A...

Question

If two sets $A$ and $B$ are such that $(A - B) = A$ , then $A \cap B =$

ϕ

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A \cup B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $ϕ$
$A - B = A$
$\Rightarrow A - (A \cap B) = A$
$\Rightarrow A \cap B = ϕ$

Suggest Corrections

Similar questions

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then $(A^{'} \cup [(A \cup B) \cap B^{'}])$ is

If A, B and C are three sets such that $A \cap B = A \cap C a n d A \cup B = A \cup C$ , then

Q. If

A

and

B

are two sets such that

(A - B) \cup B = A

, then

Q. If two sets

A

and

B

are such that

(A - B) = A

, then

A \cap B =

Q. For any two sets

A

and

B,

(A \cup B)^{'} = A^{'} \cup B^{'},

then

Join BYJU'S Learning Program

If two sets A and B are such that (A−B)=A, then A∩B=

The correct option is A ϕA−B=A ⇒A−(A∩B)=A ⇒A∩B=ϕ

If two sets $A$ and $B$ are such that $(A - B) = A$ , then $A \cap B =$

The correct option is A $ϕ$
$A - B = A$
$\Rightarrow A - (A \cap B) = A$
$\Rightarrow A \cap B = ϕ$