Question

A number is multiplied by 55. The result is a positive number less than 55.

Which of these was multiplied by 55?
A.
a number less than zero
B.
zero
C.
a number between zero and one
D.
a number greater than one

Answer 1

Let's denote the number that is multiplied by 55 as \( x \). The condition given is:

\[
0 < 55x < 55
\]

This inequality can be analyzed step by step.

1. The inequality \( 55x < 55 \) can be simplified by dividing both sides by 55 (since 55 is positive):

\[
x < 1
\]

2. The inequality \( 55x > 0 \) can also be evaluated by dividing both sides by 55:

\[
x > 0
\]

Combining both results, we have:

\[
0 < x < 1
\]

This means that \( x \) must be a positive number that is less than 1, which corresponds to option **C**: a number between zero and one.

Thus, the correct answer is:

**C. a number between zero and one**.