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

If sets `A =[-4,1] and B=[0,3),` then find the following sets:
(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

The correct Answer is:
(a) `[0, 1)" (b) " [-4, 3)" (c ) " [-4,0)" (d) " [1, 3)" (e ) " (-oo, -4) cup [3, oo)" (f) " (-oo, 0) cup [1,oo)`

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

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.2|5 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.3|9 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise Solved Examples|15 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If A= [-4 , 1 ) and B =[ 0,3), then find A cap B .

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

From the given diagram find: (i) A cup B (ii) A' cap B (iii) A-B (iv) B-A (v) (A cup B)'

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

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 adjoining Venn diagram , find the following sets : (i) A (ii) B (III) A cup B (iv) A cap B

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

Prove A cup (B cap C)=(A cup B) cap(A cup C)

From the adjoining Venn diagram , write the following sets : (i) A (ii) B (iii) C (iv) A cup B (v) A cap B (vi) B cup C (vii B cap C (viii) A cup C (ix) A cap C Also verify that : (i) n(A) + n(B) = ( A cup B) +n(A cap B) (ii) n(B) +n(C) = n(B cup C) +n(B cap C)