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=See the section in this article about that topic. http://en.wikipedia.org/wiki/Set_(mathematics)

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Q: Give and explain the 3 ways of naming a set?
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What are the Two methods in writing a set?

There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description: The second way is by extension - that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:


How many 3 digit sets of numbers can be formed from the finite set of 12345?

You can make 125 different 3-digit numbers if you're allowed to repeat a digit (for example, 113, or 545), and 60 if you're not. If repetitions are allowed, then there are 5 ways to choose each digit to be 1,2,3,4, or 5, so the total number of ways is 5*5*5 or 125. If no repetitions are allowed, there are 5 ways to choose the first digit, but only 4 ways left to choose the second (for a total of 5*4=20 ways to choose the first two digits), because it can't be the same as the first. Then you have eliminated two choices for the third digit, so there are only 3 ways to choose it, for a total of 5*4*3=60 different 3-digit numbers.


Which set is a subset of every set?

The empty set is a subset of all sets. No other sets have this property.


What is the set of all real numbers?

The set of all real numbers (R) is the set of all rational and irrational numbers. The set R has no restrictions in its domain and so includes (-∞, ∞).


Can you explain how to do 6x - 3y 30 and 4x 2 - y then find x y?

6x-3y=30 4x=2-y There are many ways to find the values of x and y. elimination substitution matrices on and on... Here's one. Set them both equal to y y=2x-10 y=2-4x So the right sides are both equal to y, therefore, they are equal to each other. 2x-10 = 2-4x 6x=12 x=2 plug 2 in for x on one of the equations y=2-4x y=2-4(2) y=-6