+823 Solve the inequality $x(x + 6) > 16 - 5x + 33.$ Write your answer in interval notation.
+130071 x ( x + 6) > 16 - 5x + 33 simplify as
x^2 + 11x - 33 > 0 set up as an equality....use the quad formula to find the roots
x = [ -11 + / - sqrt [ 11^2 - 4 * 1 * -33 ] ] / 2
x = [ -11 +/ - sqrt 253 ] /2
This is a parabola intersecting the x axis......we are interested in the parts lying above the axis
These are ( -inf, (-11 - sqrt 253 ) / 2 ) U ( (-11 + sqrt 253) / 2 , inf) = solution
