Which of the following represents the set of integers greater than zero?
{1, 2, 3, 4, 5}

{1, 2, 3, ..., 98, 99, 100}

{all positive numbers}

{1, 2, 3, 4, 5, ...}

Question

Which of the following represents the set of integers greater than zero? 
 {1, 2, 3, 4, 5} 

 {1, 2, 3, ..., 98, 99, 100} 

 {all positive numbers} 

 {1, 2, 3, 4, 5, ...}

mrnood · Answer

Ask yourself these questions:

Are there any positive integers  greater than 5?
Are there any positive integers  greater than 100?
Are there any positive NUMBERS which are not INTEGERS

Having answered those questions - look at the possible answers - only one will be possible when you have answered those questions....

anonymous · Answer

Ask those questions about the answer choices? So if the answer is "no" to those questions, that isn't your answer, or it IS your answer?

mrnood · Answer

NO - ask those questions about what you know about numbers.

Just answer the questions - either post them here - or write them down.

THEN for each of the answers (except the correct one) you will see that one of the above questions will tell you that the answer must be wrong

mrnood · Answer

the questions asks you to recognise the set of {all integers greater than 0}

anonymous · Answer

So, the first TWO questions, the answer would be yes, the last one would be no.

mrnood · Answer

is (for instance) +2.456 a number?
is it an integer?

take another look at your answer to the 3rd question

anonymous · Answer

So ALL questions are "yes".

anonymous · Answer

So e answer is the 3rd choice?

mrnood · Answer

correct

SO

does the set{1,2,3,4,5} contain all the positive integers?

anonymous · Answer

Yes.

mrnood · Answer

sorry - correct was to your previous question 

third choice is NOT correct

and above - you have already answered that there are integers >5  therefore that set does NOT contain all the positive integers (6,7,8,.....)

anonymous · Answer

This is so confusing, okay. So what am I looking for?

mrnood · Answer

The question asks you to decide which of the 4 sets contains ALL the positive integers.

The first set contains only the integers 1-5
The second set contains the integers 1-100
The third set contains all the positive NUMBERS (e.g. 1, 1.2, 1.11, 2. 2.456,........)

So you must look and see if any of the answers is the set containing ALL positive integers