Question

If A=(-7, 3], B = [2, 6] and C = [4, 9) then
find (i) AUB (ii) BUC (iii) AUC (iv) A×B
​

Answer 1

Step-by-step explanation:

Heya!!

A=(-7, 3], B = [2, 6] and C = [4, 9)

AUB = {-6,-5,-3,-2,-1,0,1,2,3,4,5,6}

BUC = {2, 4,5,6,7,8}

AUC = {-6,-5,-3,-2,-1,0,1,2,3,4,5,6,7,8}

Answer 2

Given:

• A = [-7,3]
• B = [2,6]
• C = [4,9]

To Find:

• (i) AUB (ii) BUC (iii) AUC (iv) A×B

Solution:

(i) To find AUB:

AUB should contain both the elements from set A and set B.

∴ AUB = [2,3,6,-7]

(ii) To find BUC:

BUC should contain both the elements from set B and set C.

∴ BUC = [2,6,4,9]

(iii) To find AUC:

AUC should contain both the elements from set A and set C.

∴ AUC = [-7,3,4,9]

(iv) To find A×B:

A×B is the cartesian product of elements present in set A and set B.

∴ A×B = [ (-7,2), (-7,6), (3,2), (3,6) ]

∴ AUB = [2,3,6,-7], BUC = [2,6,4,9], AUC = [-7,3,4,9], A×B = [ (-7,2), (-7,6), (3,2), (3,6) ]