Solve the inequality |x - 2sqrt(2)| > |x - 4sqrt(2)|.

This problem can be solved by squaring both sides of the inequality, as this removes the modulus from the problem. Modulus or | | means that a term can take positive and negative values, which could also be described as, for example |x| = +- x. Since squaring removes the negative sign, the modulus is also removed. After this the brackets can be expanded on both sides of the inequality and the inequality can be rearranged to give the solution.