Find all x that satisfy the inequality (2x + 10)(x + 3) < (3x + 9)(x + 5). Express your answer in interval notation.
(2x + 10) ( x + 3) < (3x + 9)(x + 5) simplify
2x^2 + 16x + 30 < 3x^2 + 24x + 45 rewrite as
x^2 + 8x + 15 > 0 factor
(x + 3) ( x + 5) > 0
This will be true when x < -5 and x > - 3
So the solution is
(inf, -5) U ( -3, inf)
