If the sides of a triangle have measures 3x + 4, 6x – 1 and 8x + 2, find all possible values of x.
question 12 options:

a)

x > -4/3

b)

0 < x < 1/6

c)

1/6 < x < 3/11

d)

x > 0

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?