The set of even natural numbers which are multiples of 3 is an empty set. This is because even numbers are divisible by 2, while multiples of 3 are not divisible by 2. Therefore, there are no numbers that satisfy both conditions simultaneously.
Oh, what a happy little question! The set of even numbers and the set of multiples of 2 are actually the same set, my friend. You see, every even number is a multiple of 2, and every multiple of 2 is an even number. They dance together in perfect harmony on the canvas of mathematics.
That's a null set. All multiples of 10 are even.
The even multiples of pi are numbers that can be expressed as 2nπ, where n is an integer. This means that the even multiples of pi are any number that is a multiple of pi and also an even number. Examples of even multiples of pi include 0, 2π, 4π, -2π, -4π, etc.
Yes.
The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.
The set of even numbers is the set of all the numbers that are divisible by 2 (or multiples of 2).
Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.
They are members of the infinite set of even numbers.
The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.
The multiples of 2 are all the positive even numbers. For them to be common, they need to be compared to another set of multiples.
Complex numbers, Real numbers, Rational numbers, Integers, Natural Numbers, Multiples of an integer.
Oh, what a happy little question! The set of even numbers and the set of multiples of 2 are actually the same set, my friend. You see, every even number is a multiple of 2, and every multiple of 2 is an even number. They dance together in perfect harmony on the canvas of mathematics.
Infinity.
That's a null set. All multiples of 10 are even.
set of all even natural numbers less than 10 = {2, 4, 6, 8}
The set of all integers; the set of all rational numbers; the set of all real numbers; the set of all complex numbers. Also their multiples - for example the set of all multiples of 2; the set of all multiples of 2.5; the set of all multiples of sqrt(17); the set of all multiples of 3 + 4i where i is the imaginary square root of -1.
That's an infinite set that starts with 8, 16, 24, 32, 40 and goes on forever.