Solving Inequalities Graphically Polynomials

Find the interval over which the following is true: 0.25x^2+x+1<4

Find the interval over which the following is true:

Use the graph to determine where is f(x) < 0?

• (-4, 2)

• [-4, 2]

• (-oo, -4) U (2, 4)

• (-oo, -4] U [2, 4]

Use the graph to find where is f(x) > 0?

• [-4, -1] U [2, +oo)

• (-4, -1) U (2, +oo)

• (-oo, -4] U [-1, 2]

• (-oo, -4) U (-1, 2)

Which of the following inequalities matches the graph?

• y ≤ 3/4x + 5

• y ≥ 3/4x + 5

• y < 3/4x + 5

• y > 3/4x + 5

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

Select the correct graph for each inequality.

• A

• B

• C

• D

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

Solve.

(x - 4)(x-2)²(x - 3)² < 0

• (-∞, 2)U(2, 3)U(3, 4)

• (-∞, 2]U[2, 3]U[3, 4]

• (-∞, 4)

• (4, ∞)