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 ∩ P = φ

(b) Z_N ∩ Z_P = φ

(c) Z – Z_N = Z_P

(d) Z_N Δ Z_P = Z – {0}

Answer 1

Correct option is (d) Z_N Δ Z_P = Z – {0}

Z_n​ → Set of non-negative integers.

Z_p​ → Set of non positive integers.

Z → Set of integers.

E → Set of even integers.

P → Set of prime numbers.

E ∩ P = {2}

Z_n ​∩ Z_p​ = {0}

Z − Z_n ​= Z_p​ and {0}

Z_n​ Δ Z_p​ = (Z_n​ ∪ Z_p​) − (Z_n​ ∩ Z_p​)

= Z − {0}