{x: x belongs to N and (x-1)(x-2) = 0}, finite set or infinite set?

Explanation:

We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.

So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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step-by-step explanation: