If `B` is the set whose elements are obtained by adding `1` to each of the even numbers , then the set builder notation of `B` is

Options

A. `B={x: x` is even `}`
B. `B= {x:x` is odd prime and `x in Z }`
C. `B={x:x` is odd and ` x in ` `z` `}`
D. `B= { x:x` is an integer `}`

Answer

C

Explanation

When we add 1 to even integers, we obtain odd integers
`therefore ={x:x` is an odd integer}=[x:x is odd and `x in Z]`