### Video Transcript

Which of the following expressions
could be written as four minus three 𝑥? a) four minus the quotient of three and 𝑥,
b) four reduced by the difference of three and 𝑥, c) four less than the product of
three and 𝑥, or d) four diminished by the product of three and 𝑥.

Notice in our expression, we have a
three next to the 𝑥. This represents three being
multiplied by 𝑥, also known as the product of three and 𝑥. It would not be the difference of
three and 𝑥 nor would it be the quotient of three and 𝑥. And that means we’ve eliminated a
and b.

Now, we need to consider if this is
four less than the product of three and 𝑥 or four diminished by the product of
three and 𝑥. Four less than the product of
three and 𝑥 would look like this: three 𝑥 minus four. Four diminished by the product of
three and 𝑥 would be starting with four and taking the product of three and 𝑥
away.

Only the fourth option, four
diminished by the product of three and 𝑥, represent our expression. We can write four diminished by the
product of three and 𝑥 as four minus three 𝑥.