We get 0 on the right: After getting LCD and simplifying, we have: To find all critical values, we set the numerator and denominator equal to 0 and solve for x: We set the numerator = 0 and solve for x: , which we solve by the quadratic formula and get which are critical numbers approximately -11.8 and -6.2. We set the denominator = 0, and solve for x and get -1,-8, and -9. So we place all the critical numbers on a number line, guessing about where -11.8 and -6.2 should go between integers. -----------o----------o---o------o--------------------o-------- -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 We pick the most convenient test value in each interval, and substitute it into and if we get a non-positive number, we include that interval in the solution. If we get a positive number we do not. For interval we choose test value -12, substitute it, and get a negative number, so we include that interval. For interval we choose test value -10, substitute it, and get a positive number, so we do not include that interval. For interval we choose test value -8.5, substitute it, and get a negative number, so we include that interval. For interval we choose test value -7, substitute it, and get a positive number, so we do not include that interval. For interval we choose test value -2, substitute it, and get a negative number, so we include that interval. For interval we choose test value 0, substitute it, and get a positive number, so we do not include that interval. Next, we include the critical values which cause the numerator to be 0, which are . Thus the solution is Edwin