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Let A= 1,2,6 and B= x/x is an odd whole number less than 8, find AUB
a) A∪ B= 1,2,3,5,6,7
b) A∪ B= 1,2,6
c) A∪ B= 1,2,3,4,5,6,7
d) A∪ B= 1,2,3,5,6,7,8

Answer :

The union of set A = {1,2,6} and set B = {x | x is an odd whole number less than 8}, results in A∪B = {1,2,3,5,6,7}, which matches option a).

The question involves finding the union A∪B of two sets. Set A is explicitly given as A = {1,2,6} and set B is defined by a condition: B = {x | x is an odd whole number less than 8}. To determine B, we list the odd whole numbers less than 8, which are 1, 3, 5, and 7. The union of sets A and B consists of all unique elements from both sets. Therefore, A∪B = {1,2,3,5,6,7}. Looking at the choices provided, option a) A∪B = 1,2,3,5,6,7 is the correct answer.

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