Home
Class 12
MATHS
If A= [-4 , 1 ) and B =[ 0,3), then find...

If A= [-4 , 1 ) and B =[ 0,3), then find the following
(A) `A cap B (b ) A cup B , ( c) A-B (d) B-A (e ) (A cup B) ( f) ( A cap B) `

Text Solution

Verified by Experts


(a) `A cap B =[ 0,1)`
( b) ` A cup B =[-4,3)`
( c) `A-B= [ -4 ,3)`
( d) `B-A ={1,3)`
( e) `( A cup B)' = ( oo , -4 ) cup [ 3 ,00) `
(f) `( A cap B)'= (-oo,0) cup (1,oo)`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.2|8 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.3|13 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Archieves|1 Videos
  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos
  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

If sets A = (-3, 2] and B = (-1, 5], then find the following sets (i) A cap B (ii) A cup B (iii) A - B (iv) B-A

If U={a,b,c,d,e,f,g,h}, A={b,d,f,h} and B={a,d,e,h}, find the following (i) A' (ii) B' (iii) A' cup B' (iv) A' cap B' (v) (A cup B)' (vi) (A cap B)' (viii) (A')' (viii) (B')'

(A cup B)' cup (A' cap B)=......

For sets (A cup B) cup ( A cap B) equals

Let U ={0,1,2,3,4,5,6,7}, A={1,3,5,7} and B={0,2,3,5,7}, find the following (i) A' (ii) B' (iii) A' cup B' (iv) A' cap B' (v) (A cup B)' (vi) (A cap B)' (vii) (A')' (viii) (B')'

Consider the following sets: A= set ofnaturai numbers which are multiples of 2 B= set ofnaturai numbers which are multiples of 3 C= set ofnaturai numbers which are multiples of 5 Then find the following set (i) A cup B (ii) B cup C (iii) A- B (iv) B-C (v)A cap C (vi) A cap B cap C (vii) ( A cup B )- C

From the venn -diagram, list the following (i) A (ii) B (iii) A cap B (iv) A cup B (v) A-B (vi) B-A (vii) (A-B) cap (B-A)

Using the adjacent venn diagram, find the following sets (A-B)-C (b) (B cup C)-A (c) A-(B-C) (d) (A cup B)'-C (e) (A cap B) -(A-C)

Using Venn diagram, prove the following i. A cup (B cap C)=(A cup B) cap (A cup C) ii. A cap (B cup C)=(A cap B) cup (A cap C)

The set of (A cup B)- (A cap B) is ........