Solving Quadratic Inequalities

4x² - 8x < 77

• -3.5 < x < 5.5

• -2.5 < x < 7.5

• -4 < x < 8

• -6 < x < 8

Which of the following is the same as the given graph?

• $\left(-\infty,\ -2\right]\cup\left[3,\infty\right)$

Which of the following is the same as the given graph? (check all that apply)

Which illustrates the graph of the x² - 5x + 4 < 0?

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What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Write the interval notation for the graph?

• [-3, 2)

• -3<x<2

• (-∞, -3] U (2, ∞)

• x > 2 or x < -3

Which of the following inequalities is the same as 2x² + 4x - 6 < 0 ?

• 2(x - 1)(x + 3) < 0

• (2x - 3)(x + 2) < 0

• (2x + 2)(x - 3) < 0

• 2(x + 6)(x - 1) < 0

Which of the following you should do first to solve a quadratic inequality?

• inequality sign

• test value

• critical values

• graph

Which of these is part of the solution set of x² - 3x + 4 > 0?

• -4

• 1

• 5

• 10

Which of the following is not a solution to -x² + 3x + 10 < 0 ?

• -2

• -1

• 5

• 8