Question

The set M represents multiples of 4 from 6 to 38. M=8,12,16,20,24,28,32,36 The set N represents even numbers from 4 to 13. N=4,6,8,10,12 How many elements are in the set M⋂N ? Select one: A. 1 B. 2 C. 3 D. 4

Answer 1

The correct option is B. 2

So there are two elements that is 8, 12 in the set M⋂N .

Explanation:

Given:

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

i.e N = { 4, 6, 8, 10, 12 }

To Find:

M⋂N = ?

Solution:

Set:

A set is a well-defined collection of distinct objects, considered as an object in its own right.

Examples :

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

i.e N = { 4, 6, 8, 10, 12 }

M⋂N = set of those numbers which are present in M as well as in N

∴ M⋂N = { 8, 12 }

So there are two elements that is 8, 12 in the set M⋂N .