A number is multiplied by 88. The result is a positive number less than 88.

Question

Which of these was multiplied by 88?
A.
zero
B.
a number greater than one
C.
a number less than zero
D.
a number between zero and one

Answer 1

Let \( x \) be the number that is multiplied by 88. According to the problem, we have the inequality:

\[ 0 < 88x < 88 \]

To solve the inequality \( 88x < 88 \), we divide both sides by 88 (noting that since 88 is positive, the direction of the inequality remains unchanged):

\[ x < 1 \]

Next, we need to find the condition for \( 88x > 0 \), which simplifies to:

\[ x > 0 \]

Combining these two results, we have:

\[ 0 < x < 1 \]

This means that the number \( x \) must be a positive number that is less than 1, which corresponds to option D:

D. a number between zero and one.