True or False? is a rational number

between 5 and . (1 point)
5
1
7
5
1
4
True
False

1 answer

To determine if there are any rational numbers between 5 and 1, we first note that rational numbers include any number that can be expressed as a fraction of two integers (i.e., \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \)).

A rational number between 5 and 1 would need to satisfy the condition \( 1 < x < 5 \).

For example, numbers like 2, 3, and 4 are rational and lie between 5 and 1.

Thus, the statement "there is a rational number between 5 and 1" is True.