Solve the following inequality. Write your answer using interval notation or if no solutions exist write no solutions.

Question

Solve the following inequality. Write your answer using interval notation or if no solutions exist write no solutions.

7(4w-13)(w+4)<28w(w-6)

Answer 1

7(4w - 13)(w + 4) < 28w(w - 6)

(4w -13)(w + 4) < 4w(w - 6)

4w² + 3w - 52 < 4w² - 24w

3w - 52 < - 24w

-52 < -27w

52 / 27 > w