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graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 2 (second equation attached)

part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)

part b: is the point (−2, −2) included in the solution area for the system? justify your answer mathematically. (4 points)

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?