Question

State whether the following statements are true or false. Give reasons for your answers.

Every integer is a whole number.

Answer 1

False (Consider the integers and whole numbers separately.

We know that integers are those numbers that can be written in the form of p/q where p ≠ 1.

Now, considering the series of integers, we have.... - 4, - 3, - 2, -1, 0,1, 2, 3, 4..... .

We know that whole number series is 0,1, 2, 3, 4,5..... .

We can conclude that all the numbers of whole number series lie in the series of integers. But every number of series of integers does not appear in the whole number series.

Therefore, we conclude that every integer is not a whole number.