Polynomial and Rational Inequalities

• ( -∞ , -5) U (5, ∞)

• (-∞, -5) U (-5, 5) U (5, ∞)

• (-∞, -5) U (-5, ∞)

• (-∞, 25) U (25, ∞)

The x-intercepts of a rational function are :

• the real zeros of the denominator

• always zero

• the value of f(0)

• the real zeros of the numerator

x² - 2x - 15 ≤ 0

• (-∞, -3) U (5, ∞)

• (-3, 5)

• [-3, 5]

• (-∞, -3]U[5, ∞)

Solve the Polynomial Inequality

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(x-3)(x+4)>0

• (-∞, -4)U(-4, ∞)

• (-4, 3)

• (-∞, -4]U[3,∞)

• (-∞, -4) U (3, ∞)

(x - 1)(x - 2)(x - 4) ≤0

• (-∞, 1)U(2, 4)

• (-∞, 1]U[2, 4]

• [1, 2]U[4, ∞)

• (-1, 4)

What are the critical value(s)?

• x=3 and x=1

• x=-3 and x=-1

• x=3

• There are no critical values

What are the critical value(s)?

• x=0

• x=4 and x=0

• x=-4 and x=0

• There are no critical values

Solve the following rational inequality

• -3 < x < -2

• x < -3 or x > -2

• 2 < x < 3

• x < 2 or x > 3