Practicing Success

Target Exam

CUET

Subject

Mathematics

Chapter

Sets

Question:

If $A = \{x: x =2n+1, n ∈ Z\}$ and $B=\{x: x = 2n, n∈ Z\}$, then $A∪B=$

Options:

N

Z

R

None of these

Correct Answer:

Z

Explanation:

The correct answer is Option (2) → Z

We have,

$A∪B=\{x: x =2n+1$ or $x = 2n, n ∈ Z\}$

= {x:x is an integer} = Z.