CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

For 2 sets A and B, which of the following is/are true always?


A

A - B = {x : x A and x B}

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

The sets A - B, A B and B - A are mutually disjoint sets.

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

A - B = B - A

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

A B = {x : x B and x A}

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

The correct options are
A

A - B = {x : x A and x B}


B

The sets A - B, A B and B - A are mutually disjoint sets.


(a) A - B is the set in which elements belong to A, but does not belong to B. So, A - B = {x : x A and x B}.

(b)

So, A - B, A B and B - A are mutually disjoint sets.

(c) As A - B and B - A are disjoint sets, A - B B - A always.

(d) A B = {x : x A or x B}

So, only first two options are true.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Difference of Two Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon