If 4 is removed from the set of whole numbers, is the set of whole numbers closed with respect to addition?
Answers
No....Because in any case if you take out a number, then it's place will be empty...So if you want to take out 4 from 8 (just an example), how can we do it ?
Hope it helps you!!!
The given set is not closed with respect to addition.
Given:
Number 4 is removed from the set of whole numbers.
To Find:
Whether the set of the whole number without 4 is closed under addition.
Solution:
Let S be the set of the whole number without the number 4.
A set is said to be closed under addition only if the addition of any two numbers also belongs to the set.
We know that 2 is a whole number.
⇒ 2 ∈ S
But the addition of 2+2=4∉S
addition of two numbers from the set does not belong to the set S.
Therefore, The given set is not closed with respect to addition.
#SPJ2
Learn More
1)Taking the set of natural numbers as the universal set, write down the complements of the given set: { x: x is a perfect cube}
Link:https://brainly.in/question/6617850
2)If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q?
Link:https://brainly.in/question/6617827