Given:
Set A represents rational numbers.
Set B represents integers.
Set C represents whole numbers.
To find:
Which of the value represents a value that could be placed in set C.
Solution:
Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].
Integer is a set of positive and negative numbers including zero.
Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}
Whole numbers are positive numbers with zero.
Whole numbers: {0, 1, 2, 3, 4, ...}
Option A: -10
-10 is a integer. So that, it is placed in set B not in set C.
Therefore, it is not true.
Option B: 2.5
2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option C: [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option D: [tex]\frac{12}{4}[/tex]
[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)
3 is a whole number.
Whole numbers placed in set C.
Therefore, it is true.
Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.
