I have a question !!?

how many positive values of x are possible if 4x+2y=2
A) none
b) one
c) two
d) four
e) more than four

Based on what you wrote, x can take on any positive value since x and y have no other restrictions (i.e. given x, we can find y = (2-4x)/2 = 1-2x).

Ans: E) more than four

Plug in but as @MITer94 without restrictions.