Question

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answer 1

Please check the explanation.

Explanation:

Given the set B

• B={ 0,1,4,9,16,25}

Analysis of the elements in the set B

• 
  `m = 0 = 0^(2)`

• 
  `m\:=\:1\:=\:1^2`

• 
  `m\:=\:4\:=\:2^2`

• 
  `m\:=\:9\:=\:3^2`

• 
  `m\:=\:16\:=\:4^2`

• 
  `m\:=\:25\:=\:5^2`

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number;
`0 \leq m \leq 5` }