Rational Inequalities Graphically

x² - 2x - 15 ≤ 0

• (-∞, -3) U (5, ∞)

• (-3, 5)

• [-3, 5]

• (-∞, -3]U[5, ∞)

Solve the Polynomial Inequality

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#1

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

• (-∞, -4)U(-4, ∞)

• (-4, 3)

• (-∞, -4]U[3,∞)

• (-∞, -4) U (3, ∞)

#2

(x - 1)(x - 2)(x - 4) ≤0

• (-∞, 1)U(2, 4)

• (-∞, 1]U[2, 4]

• [1, 2]U[4, ∞)

• (-1, 4)

x³ + 2x² - 4x - 8 > 0

• (-2, 2) U (2, ∞)

• No Solution

• [2, ∞)

• (2, ∞)

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:

• (0,4]
• (−∞,0) U [4,∞)
• (−∞,0)
• [4,∞)

Find the LCD of these fractions.

• (x+2)(x-1)x
• +2, -1
• (x+1)(x-2)
• (x+2)(x-1)

• (-2,2)

• (-∞,-2) U (2,∞)

• x > -2 or x > 2

• -2 > x > 2