Polynomial and Rational Inequalities

Question 1

Determine the output at each zero to find the solution:

x^2 - x - 20 > 0

Answer 1

(-infinity, -4) U (5, infinity)

Question 2

Determine the output at each zero to find the solution:

x^3 + 3x^2 < x + 3

Answer 2

(-infinity, -3) U (-1, 1)

Question 3

Find the x- intercepts (zeros) of the function:

x - 1 / x + 1 > 0

Answer 3

x = 1

Question 4

Find the asymptotes of the function:

x - 1 / x + 1 > 0

Answer 4

x = -1

Question 5

Determine the output at each zero to find the solution:

x - 1 / x + 1 > 0

Answer 5

(-infinity, -1) U (1, infinity)