Question

Let $Z_N$ be the set of non negative integers, $Z_P$ be the set of non positive integers, $Z$ the set of integers, E the set of even integers and P the set of prime numbers, then

• A. $E\cap P=\Phi$
• B. $Z_N\cap Z_P=\Phi$
• C. $Z-Z_N=Z_P$
• D. $Z_N\Delta Z_P=Z-\left\{0\right\}$

Answer 1

The correct option is D $Z_N\Delta Z_P=Z-\left\{0\right\}$

$Z_n\to$Set of non-negative integers.

$Z_p\to$Set of non positive integers.

$Z\to$Set of integers.

$E\to$Set of even integers.

$P\to$Set of prime numbers.

$E\cap P=\left\{2\right\}$

$Z_n\cap Z_p=\left\{0\right\}$

$Z-Z_n=Z_p$ and$\left\{0\right\}$

$Z_n\Delta Z_p=(Z_n\cup Z_p)-(Z_n\cap Z_p)$

$=Z-\left\{0\right\}$