Maths-
General
Easy

Question

# If A = {x : x N, x is a factor of 6} and B = {x N : x is a factor of 8} then is

Hint:

## The correct answer is: {1}

### The given set isA={x : x ∈ N, x is a factor of 6)B (x ∈ N : x is a factor of 8)We have to find the intersection of the two sets.We will write the roster form or elements of the both the sets first.Set Ax is a factor of 6 and it belongs to N means a natural number.Factor means the numbers which divide the given number and leave remainder zero.The factors of 6 are 1, 2, 3, and 6.So, the roster form of it will beA = { 1, 2, 3, 6}Set Bx is a factor of 8. It belongs to natural numbers.The factors of 8 are 1, 2, 4, 8So, the roster form of it will beB = { 1, 2, 4, 8}Now, we have to find A∩BIt means we have to find the elements that are common to both the setsThe elements that are common to both the sets are 1 and 2A ∩ B = {1, 2}This is the required answer.

When we have to find intersection of two sets, we have to find their common elements. When we have to find union of two sets, we have to consider all the elements of both the sets.