Solving Quadratic Inequalities with Graphs and Tables

Which of the following is the solution of the given Quadratic Inequality?

• 1/2 ≤ x ≤ 2

• -1/2 ≤ x ≤ 2

• -2 ≤ x ≤ -1/2

• -2 ≤ x ≤ 1/2

Which of the following is the solution of the given Quadratic Inequality?

• x > -14 or x < 8

• x < -14 or x > 8

• x > 14 or x < -8

• x < 14 or x > -8

5x² + 10x + 7 ≥ 0

• no solution

• all reals

• x ≤ 5 or x ≥ 7

• 5 ≤ x ≤ 7

2x² + 9x - 143 < 0

• -11 < x < 6.5

• -11 ≤ x ≤ 6.5

• no solution

• all reals

-3x² + 45 ≥ 6x

• -5 < x < 3

• -5 ≤ x ≤ 3

• x < -5 or x > 3

• x ≤ -5 or x ≥ 3

-3x² + 3x - 6 ≤ 0

• no solution

• all reals

• x = 1

• x ≠ 1

4x² - 8x < 77

• -3.5 < x < 5.5

• -2.5 < x < 7.5

• -4 < x < 8

• -6 < x < 8

x² - 9x - 112 ≥ 0

• -7 < x < 16

• -7 ≤ x ≤ 16

• x < -7 or x > 16

• x ≤ -7 or x ≥ 16

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

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

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

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