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

Question

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.