HELP AND GIVE AN EXPLANATION!

Using the given statements, state whether the conditional statement is true or false. p: 7 + 1 = 0 q: 2 + 2 = 5 is p q true or 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?

Which letters from the table represent like terms? a and b b and c a and d b and d