Question

Which of the following is not true regarding sets of numbers?

A. all whole numbers are rational numbers
B. All integers are rational numbers
C. All rational numbers are integers
D.All irrational numbers are real numbers

Answer 1

C. All rational numbers are integers

Explanation:

We are required to find the statement which is not true.

From the options, we see that,

'All whole numbers are rational numbers, All integers are rational numbers and All irrational numbers are real numbers' are the true statements.

Options A, B and D are true.

But, in option C, we have that,

'All rational numbers are integers', is not a true statement.

For example,
`(1)/(2)` is not an integer, which is the set of numbers {...,-2,-1,0,1,2,....}.

Thus, option C is not true.

Answer 2

The option which is not true regarding sets of numbers is that C. all rational numbers are integers.
Integers are whole numbers such as 2, 6, -5, etc., and rational numbers are fractions.