Answer:
B = { square numbers less than 30 }.
or
B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}
Let us check the elements in set B.
[tex]x = 0 = 0^{2}[/tex]
[tex]x\:=\:1\:=\:1^2[/tex]
[tex]x\:=\:4\:=\:2^2[/tex]
[tex]x\:=\:9\:=\:3^2[/tex]
[tex]x\:=\:16\:=\:4^2[/tex]
[tex]x\:=\:25\:=\:5^2[/tex]
It is clear that each element in set B is a square of a whole number.
Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:
B = { square numbers less than 30 }.
or
B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }
