Sets-Relations-And-Functions Question 137

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

Options:

A) $ I-N=N_{p} $

B) $ N\cap N_{p}=\phi $

C) $ E\cap P=\phi $

D) $ N\Delta N_{p}=I-{0} $

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Answer:

Correct Answer: D

Solution:

  • [d] $ N\Delta N_{p}=(N-N_{p})\cup (N_{p}-N) $ $ ={1,2,…}\cup {..-2,-1}=I-{0} $