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What set of real numbers includes positive integers but not negative or zero?
The set of Counting Numbers or Natural Numbersincludes positive integers but not negative integers or zero.The set is 1,2,3,4,5,6....and so on.
Is the set of all integers less than 50 finite?
The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.
Is the set of all real numbers continuous and the set of all integers discrete?
Yes, every Cauchy sequence of real numbers is convergent. In other words, the real numbers contain all real limits and are therefore continuous, and yes the integers are discrete in that the set of integers only contains (very very few, with respect to the set of rationals) rational numbers, i.e. their values can always be accurately displayed unlike the set of reals which is dense with irrational numbers. It's so dense with irrationals in fact, that by comparison, the set of rationals can be called a null set, however that is a different topic.
What set of numbers does -15 belong to?
Its a NEGATIVE number. A NEGATIVE INTEGER.
How does the set of whole numbers differ from the set of integers?
Integers include negative numbers.
