SOLUTION: If C = {counting numbers} and I = {integers}, then C ∩ I is which of the following? (A) {whole numbers} (B) {counting numbers} (C) {non negative integers} (D) {p

Algebra ->  sets and operations -> SOLUTION: If C = {counting numbers} and I = {integers}, then C ∩ I is which of the following? (A) {whole numbers} (B) {counting numbers} (C) {non negative integers} (D) {p      Log On


   

Question 309764: If C = {counting numbers} and I = {integers}, then C ∩ I is which of the following?

(A) {whole numbers}
(B) {counting numbers}
(C) {non negative integers}
(D) {positive real numbers}
(E) {even integers}
Found 2 solutions by Edwin McCravy, amalm06:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Think of ∩ as being crossed like this: ∩ 
and since ∩ is the first letter of the word ∩ND,
we know that ∩ means "AND". Now

C ∩ I  

means 

C ∩ I 

which means

C ∩ND I

so in order for a number to be both a Counting number ∩ND
an Integer, and since every Counting number IS also an Integer, it must be
a Counting number.  So the answer is (B).

Edwin

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is B). The question is giving you two sets, N and Z, and asking which elements are common to both sets. Since Z-N=Z^-, the answer is simply N itself.