The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is -3. Which equations represent this situation?
oy-2x-3 and y=-2x-3
3
o y = 2x-3 and Y-3 *- 2
O y-2x+3 and y=-2x-3
3
O y = 2x+3 and y
and Y- 2x
IC
NI

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?