0
(-∞, -4]
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
How do you find the set of real numbers less than or equal to -4?
Thin of the number line with a solid dot on the number -4. Everything to the left of your dot satisfies real numbers less than or equal to 4. The set it infinite, of course. In set builder notation, {x: x< or = 4}
What is any real number that is not equal to zero?
A non-zero real number! In set notation, it may be represented as R \ {0}.
Which Interval notation represents the set of all real numbers Greater than 2 and less than or equal?
The answer to this is 2, and 0.
What does minimum mean in math terms?
less than * * * * * Not quite - it does not say whether the minimum is "less than" something or something is "less than" the minimum! The minimum of a finite set of numbers is the smallest value in the set. It is a member of the set which is less than (or equal to) all members of the set. If you want a bit more, read on, otherwise the above will be fine. For an infinite set it is the largest number, which may or may not belong to the set, which is less than or equal to all members of the set. Why the distinction? Think of the set of positive integers. What is the minimum? Easy, it is 1. It is a member of the set and is less than or equal to all members of the set. So far so good. Now think of all positive fractions. The minimum? It is 0, but that is not a member of the set. On the other hand, no number bigger than 0 can be the minimum, because half that number will be a positive fraction but will be smaller than the minimum - ooops! Sometimes the minimum will be a member of the set, sometimes not - it depends on how the set is defined. Actually, the definition of the minimum is very, very important, because it forms the basis of Richard Dedekind's definition of numbers and all of number theory follows from it.
Is a set of even number less than 8?
is a set of even numbers less than 8
How do you find the set of real numbers less than or equal to -4?
Thin of the number line with a solid dot on the number -4. Everything to the left of your dot satisfies real numbers less than or equal to 4. The set it infinite, of course. In set builder notation, {x: x< or = 4}
The set of real numbers less than or equal to - 4?
Real numbers are all numbers. So the answer would be -4 and every number after that in the negative direction. So any number that is less than -4. So, -5, -6, and so on.
Set of an even number less than or equal to9?
{2,4,6,8}
What is any real number that is not equal to zero?
A non-zero real number! In set notation, it may be represented as R \ {0}.
Which Interval notation represents the set of all real numbers Greater than 2 and less than or equal?
The answer to this is 2, and 0.
Is the whole number equal to the set of natural numbers true or false?
The is false. "the whole number" is a single number while "the set of natural numbers" is a set. A single number cannot be equal to a set.
Can the GCF of 2 numbers be less than the first number?
The GCF of 2 numbers can be less than either number.
What is an example of a complex number that is real?
Here are some: 5, -2, 1/3, square root of 27, pi.The set of real numbers is a subset of the set of complex numbers. Any complex number can be represented in the form (a + bi), where a & b can be any real number, and i is the imaginary unit equal to sqrt(-1). So if b = 0, then we have just a, which is a real number.
What is 2.7 in the real number system?
The number 2.7 is defined by the Dedekind cut.The Dedekind cut for any real number divides the set of rational numbers, Q, into two disjoint sets: set A which consists of all number less than the given number (2.7) and set B, which is the complement of A in Q. If the set B has a minimum then that number is the minimum of set B. If not then the number is the real number that is not in A nor in B.For all rational numbers B has a minimum. So in this case, the number is the Dedekind cut defined by the set B = {x | x in Q, x not < 2.7}
What is the difference between a set of real numbers and a set of complex numbers?
The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.
Does a real number contain the set of rational numbers?
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
What does minimum mean in math terms?
less than * * * * * Not quite - it does not say whether the minimum is "less than" something or something is "less than" the minimum! The minimum of a finite set of numbers is the smallest value in the set. It is a member of the set which is less than (or equal to) all members of the set. If you want a bit more, read on, otherwise the above will be fine. For an infinite set it is the largest number, which may or may not belong to the set, which is less than or equal to all members of the set. Why the distinction? Think of the set of positive integers. What is the minimum? Easy, it is 1. It is a member of the set and is less than or equal to all members of the set. So far so good. Now think of all positive fractions. The minimum? It is 0, but that is not a member of the set. On the other hand, no number bigger than 0 can be the minimum, because half that number will be a positive fraction but will be smaller than the minimum - ooops! Sometimes the minimum will be a member of the set, sometimes not - it depends on how the set is defined. Actually, the definition of the minimum is very, very important, because it forms the basis of Richard Dedekind's definition of numbers and all of number theory follows from it.
