To find the values of x that satisfy the inequality, we can start by multiplying both sides by (x-3)(x-4) to get rid of the denominators:

(x-3)(x-3) > (x-4)(x-4)

Expanding both sides gives:

x^2 - 6x + 9 > x^2 - 8x + 16

Subtract x^2 from both sides:

-6x + 9 > -8x + 16

Add 8x to both sides:

2x + 9 > 16

Subtract 9 from both sides:

2x > 7

Divide by 2:

x > 3.5

Therefore, the inequality is true for all values of x greater than 3.5.