First slide

Operations on Sets

Question

If $aN = {ax : x \in N}$ then the set $4 N \cap 6 N$ is

Moderate

A

8 N
B

10 N
C

12 N
D

None of these

Solution

$\begin{array}{l} 4 N = {4, 8, 12, 16, 20, 24, \dots} and 6 N = {6, 12, 18, 24, \dots} \\ Hence, 4 N \cap 6 N = {12, 24, 36, \dots} = 12 N \end{array}$

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