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.
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.