Question

Let $N$ be the set of non-negative integers, $I$ the set of integers,$N_p$ the set of non-positive integers, $E$ the set of even integers and $P$ the set of prime numbers. Then

• A. $I-N=N_p$
• B. $N\cap N_p=\varphi$
• C. $E\cap P=\varphi$
• D. $N\Delta N_p=1-\left\{0\right\}$

Answer 1

The correct option is A $I-N=N_p$

By option verification,

$I-N=N_p$

$I$ is the set of integers,$⟹N\cup N_p$

$N$ is set of non-negative integers,

$N_p$ is non-positive integers.

So $I-N=N\cup N_p-N=N_p$