Solve the following inequality and write your answer using interval notation

Question

−3(v−4)(v+4)^2(v−9)≥0

Answer 1

Consider first:

Zeros are ±4, and 9.

(v + 4)² > 0

Since the 3 is negative the following must be true

v - 4 > 0 and v - 9 < 0

v > 4 and v < 9, this is possible.

or

v - 4 < 0 and y - 9 > 0

v < 4 and v > 9, this is not possible

-4 ∪ [4, 9]