Five times a number is less than three times the same number. Find such an answer.

Hi, Ana.

You can use any variable to represent the number; the most common are n or x.

So, five times a number can be written as 5x (because there is a number and a letter being multiplied, we don't even need a multiplication sign).

5x < 3x

To get the variables on the same side, you subtract 3x from each side.

5x - 3x < 3x - 3x

then you get: 2x < 0

Divide both sides by two:

2x / 2 < 0 / 2

then you get: x < 0

Since x is less than 0 (and not equal to), the answer would be all negative numbers.

Hope this helps!

Kathye P.

## Comments

I like your answer, Kathye P. I think there might be a typo, though.

Just to clarify for Ana, when you say "Divide both sides by zero", do you mean "Divide both sides by two"?

Oops, yes. Thanks for the catch!

I corrected the typo. :-)