To graph the inequality 6 / X + 4 greater than 6 / X - 5, First of all we need to have one side equal to 0, so let's subtract the 6 / X - 5 need to get one fraction. So I'm going to get a common denominator of X + 4 X -5 S 6 * X -, 5 negative 6 * X + 4. Combining like terms and reducing. We can see that the vertical asymptotes are going to occur at X = -4 and X = 5. The horizontal asymptote is going to be y = 0 because the degree on the bottom is bigger. There are no X intercepts and the Y intercept. If we stick zero in for X, we're going to get -54 / -20 which reduces to 27 tenths. So if we draw in our vertical asymptotes, our horizontal asymptote and our Y intercept, we know how the entire graphs going to look because of each of the vertical asymptotes, they're to an odd multiplicity. So if the Y value is positive on one side, it's got to be negative on the other, or if it's negative on one side, it has to be positive on the other. The fact that we were asking for when it was greater than 0 told us we're looking for the Y values that are above the X axis. So we have an answer of -4 to 5.