Solve the following inequality and write your answer using interval notation

Question

−7(y−2)(y+2)^2(y−12) ≥ 0

Answer 1

Yes, the zeros are -2, 2, and 12

For the product to be greater than zero, i.e., positive

y - 2 and y - 12 must be positive.

Y must be greater than 2 and 12,

(12, +∞)

Answer 2

the function is zero at -2,2 and 12

interval (-infinty,-2) the function is negative

interval (-2,2) the function is negative

interval (2,12) the function is positive

interval (12,infinity) the function is negative

the solution set is {2} U [2,12]