Consider the equation 3 |x − 2 | + 6 = 12. Choose True or False for each statement. A. The equation can be solved using the Pythagorean Theorem. A True B False B. The solutions of the equation are x = 4 and x = 0. A True B False C. The first step to solving the equation could be subtracting 6 from both sides of the equation. A True B False

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?