Question

Use set builder notation to write each of the following sets 45,55,65,75

Answer 1

$Answer: \{ x: x =5(2n+1) ,4\leq n\leq 7 ,x,n\in N \}$

Explanation:

As we know that set is the collection of elements and set builder is the method of defining the set with the help of specific property in which we can use arithmetic operations as well

Generally,

It is the general form of any set in which we can construct the complete set  with the help of equation in the given in set builder form.

Since we have the elements : 45,55,65,75

So, the set builder form will be { x: x =5(2n+1) ,4≤n≤7,x,n∈ N }

We will read it as it is the value of x which will be find with the help of given equation i.e. x=5(2n+1) where n goes from 4 to 7 only and x and n are natural numbers only.