Question

There are always _____ integers between every two non-consecutive integers.

• A. infinitely many
• B. finitely many
• C. only one
• D. zero

Answer 1

Answer: (B)

finitely many

Let us represent the integer on the number line.

We see that between consecutive integers like $(1,2),(-1,0)$ there are no integers.

Also, between two integers like $(-3,-1)$ there is only one integer.

Again between $(-3,3)$ there are finite number of integers $-2,-1,0,1,-2$.

Thus, between any two integers there are either no integers or finite number of integers.