Solving Quadratic Inequalities

If -5 and 3 are the critical numbers of the inequality, which of the following are the possible test intervals?

• x < -5

• x > 3

• -5 < x < 3

• x > 4

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

• inequality sign

• test value

• critical values

• graph

If one test interval is −5 < x < 3, which of the following numbers can be test numbers in that interval?

• -6

• 1

• 5

• 7

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

What are the critical value for the inequlaity (2x - 1)(x + 3) > 0 ?

• -3

• - 1/2

• 1/2

• 3

What is the solution set of the inequality (2x - 1)(x + 3) < 0?

• x < - 3

• x > 1/2

• -3 < x < 1/2

• x > 1

Which of these belongs to the solution set of the inequality x² > 4 ?

• -1

• 0

• 1

• 2

Which of the following is the graph of y < x² - 3x - 10 ?

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