the difference of t and five multiplied by six is four.

written out is...

6(t-5)=4

right?

and how would i write out..
the opposite of four is less then the product of y and seven.

is it, -4<7y?

and last.
-3/5 times -5/3 is what?

-25/9?

right, right, wrong.

any number multiplied by its reciprocal is 1.

The first two are correct. The last problem, (-3/5)x(-5/3) is equal to 1, not -25/9.

Yes, you are correct.

To write out the statement "the opposite of four is less than the product of y and seven," you would write it as "-4 < 7y."

And for the multiplication expression, -3/5 times -5/3 does indeed equal -25/9.