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what os the set of all integers divisible by 5

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What does n stand for in set builder notation?

In set builder notation, "n" typically represents an integer variable. It is often used to define sets of numbers, such as the set of all integers or specific subsets like even or odd integers. For example, the notation {n | n is an integer} describes the set of all integers, where "n" is a placeholder for any integer value.


What will be the set builder of a set of even number?

The set builder notation for the set of even numbers can be expressed as ( E = { x \in \mathbb{Z} \mid x = 2n, , n \in \mathbb{Z} } ), where ( \mathbb{Z} ) represents the set of all integers. This notation indicates that the set ( E ) consists of all integers ( x ) that can be expressed as two times an integer ( n ). Essentially, it captures all numbers that are divisible by 2.


What is the set builder notation of all integers that are multiples of 3?

The set builder notation for all integers that are multiples of 3 can be expressed as ( { x \in \mathbb{Z} \mid x = 3k \text{ for some } k \in \mathbb{Z} } ). This notation specifies the set of all integers ( x ) such that ( x ) can be represented as 3 times some integer ( k ).


Which of the following is divisible by 3 and 6 but is not divisible by 4?

All numbers of the form 6+12x are, for all integer x.


What is the set Q which is the set of all solution of the eqution 8x equals 0 in set builder notation?

Not sure about the set builder notation, but Q = {0}, the set consisting only of the number 0.


What is the set builder notation of 2468?

The set builder notation for the set containing the elements 2, 4, 6, and 8 can be expressed as: ( { x \mid x = 2n, n \in \mathbb{Z}, 1 \leq n \leq 4 } ). This notation indicates that the set consists of all ( x ) such that ( x ) is twice an integer ( n ) where ( n ) ranges from 1 to 4. Alternatively, it can be simply written as ( { x \mid x \in {2, 4, 6, 8} } ).


Is 117 divisible by 9?

Yes. 117/9=13. An easy test for divisibility by nine (for an integer of any length) is to add all of the digits. If the sum is nine or a number divisible by nine, then the integer is divisible by nine. In this case, 1+1+7=9, so 117 is divisible by nine. (Be careful, this test fo divisibility only works generally for divisibility by three -- i.e., an integer is divisible by three if and only if the sum of its digits equals three or a multiiple of three-- and for nine.) To find if an integer is divisible by 4, you can check if the last two digits are. If they are, it is. To check if an integer is divisible by 6, you must make sure that the integer is divisible by both 3 and 2. If you want to check if an integer is divisible by 2, just make sure it's even. Any integer divisible by 10 will end in zero. Any integer divisible by 5 will end in either 5 or 0. This is an important part of pre-algebra, as well as algebra.


What is divisible by 202?

There are infinitely many numbers that are divisible by 202. They are all numbers of the form 202*k where k is some integer.


What is the Set builder notation for all the days of the week?

{x| x is the name of day of week}


What is the divisibility test for 15?

It is divisibility by 3 and divisibility by 5.Divisibility by 3: the digital root of an integer is obtained by adding together all the digits in the integer, with the process repeated if required. If the final result is 3, 6 or 9, then the integer is divisible by 3.Divisibility by 5: the integer ends in 0 or 5.


What is the least positive integer that is divisible by all the whole numbers from 1 to 9?

2520


Is 123 divisible by 5?

Just carry out the division, and see if you get an integer! Also, all numbers that are divisible by 5 end with 0 or with 5.