eddy2017
Elite Member
- Joined
- Oct 27, 2017
- Messages
- 2,525
no value is greater than 2Which values are greater than 2 and which are less than 2?
No, you're right. 0 can't be included because 2 is not greater than 00 checked out. OK
That would mean that 0<2 and 0>2. Do you agree with this?
Also, there are numbers less that 2 other than 1, 0, -1, -2, ....
How about pi/2, 3/11, -e^4, 25/14
2 is not greater than 0???No, you're right. 0 can't be included because 2 is not greater than 0
No, you're right. 0 can't verify because 2 is not greater than 0
I think you're right when it comes to 0 being > than 20 checked out. OK
That would mean that 0<2 and 0>2. Do you agree with this?
Also, there are numbers less that 2 other than 1, 0, -1, -2, ....
How about pi/2, 3/11, -e^4, 25/14
Do you know the DEFINITION of "Null Set" ?I think you're right when it comes to 0 being > than 2
As to the other numbers that may be between 2 and -1 they are not expressed in the answer choice. I take it to mean the exercise doesn't want you to consider themm
Just the ones that Jahe been listed to be in the set.
This is a null setDo you know the DEFINITION of "Null Set" ?
What do you think of the case at hand?. Is the exercise wrongly constructed or is there a solution?There is only one null set. This is a subtle point. In MOST cases, number is just ONE of multiple possible way to categorize sets.
For example, we might have a set of three dogs and a different set of three cats. Those sets agree in number, but not in type of member. Alternatively, we might have a set of three bottles of milk and a different set of four bottles of milk. Those sets agree in type of member but not in number. In other words, number is a way to categorize sets, but we can usually distinguish between different sets that have the same number.
However, there is no way to distinguish different characteristics of nothing. So the null set is necessarily unique.
But you are correct that the name of the number that characterizes the null set is zero.
0Any real number is either greater than 2, equal to 2, or less than 2.
Do you agree?
Case 1. Any number > 2. Is that number also < 2.? No. So the number of numbers that are greater than 2 and also less than 2 is zero.
Case 2. The number is 2. Is 2 greater than 2? No. Is 2 less than 2? No. So the number of numbers that are 2 and both greater and less than 2 is zero.
Case 3. Any number < 2. Is that number also > 2? No. So the number of numbers that are less than 2 and also greater than 2 is zero.
0 + 0 + 0 = what?
There you go. I edited the post you quoted.