1. The problem statement, all variables and given/known data (A) Graph the functions f(x)=x/2 and g(x)=1+(4/x) together to indentify the values of x for which x/2>1+(4/x). (B) Confirm your findings in part (A) using algebra. 2. Relevant equations 3. The attempt at a solution (A) I graphed the equations and found the answer to be (-2,0)U(4,infinity). The answer is given in the book and confirms this. (B) x/2 > 1+(4/x), = x > 2+(8/x) = (x^2) > 2x+8 = (x^2)-2x-8 > 0 = (x-4)(x+2) > 0 So doesn't this imply x/2 > 1+(4/x) on the interval (-infinity, -2)U(4, infinity)? Thanks for clearing this up!