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Graph the solution of the quadratic inequalities on a number line and write the solution in interval notation.

Question : Graph the solution of the quadratic inequalities on a number line and write the solution in interval notation. : 2151615

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Graph the solution of the quadratic inequalities on a number line and write the solution in interval notation.

1) (x - 5)(x + 2) > 0

A) (-2, 5)

B) (-∞, -5) (2, ∞)

C) (-∞, -2) (5, ∞)

D) (-2, ∞)

2) p2 + 5p + 6 > 0

A) (-∞, -3)

B) (-3, -2)

C) (-2, ∞)

D) (-∞, -3) (-2, ∞)

3) s2 - 2s - 3 < 0

 

A) (-1, 3)

B) (3, ∞)

C) (-∞, -1) (3, ∞)

D) (-∞, -1)

4) t2 - 2t - 35 ≤ 0

A) [-5, 7]

B) (-∞, -5] [7, ∞)

C) (-∞, -5]

D) [7, ∞)

5) v2 - 12v + 35 ≥ 0

A) [7, ∞)

B) (-∞, 5] [7, ∞)

C) [5, 7]

D) (-∞, 5]

6) x2 - 3x ≤ 4

A) [-4, 1]

B) [-1, 4]

C) (-∞, -4] [1, ∞)

D) (-4, 1)

7) x2 - 5x ≥ -6

A) [2, 3]

B) [3, ∞)

C) (-∞, 2] [3, ∞)

 

D) (-∞, 2]

8) v2 + 11v + 28 ≥ 0

A) (-∞, -7]

B) [-4, ∞)

C) (-∞, -7] [-4, ∞)

 

D) [-7, -4]

Solve the quadratic inequality. Write your answer in interval notation.

9) x2 - 13x + 42 > 0

A) (-∞, 6)

B) (7, ∞)

C) (6, 7)

D) (-∞, 6) (7, ∞)

10) x2 - 6x - 7 < 0

A) (-∞, -1)

B) (-1, 7)

C) (-∞, -1) (7, ∞)

D) (7, ∞)

11) x2 - 2x - 8 ≤ 0

A) (-∞, -2]

B) [-2, 4]

C) (-∞, -2] [4, ∞)

D) [4, ∞)

12) x2 - 9x + 18 ≥ 0

A) (-∞, 3]

B) [6, ∞)

C) [3, 6]

D) (-∞, 3] [6, ∞)

13) 5x2 + 2x + 3 ≥ 0

A) No real solutions

B) [-3, - (1/5)]

C) All real numbers

D) [-5, - (3/5)]

Solve the quadratic inequality. Write your answer in interval notation.

14) x2 - 3x - 10 < 0

A) (5, ∞)

B) (-∞, -5)

C) (-2, 5)

D) (-∞, -2)

15) x2 - 3x - 18 ≤ 0

A) (-∞, -3] [6, ∞)

B) [6, ∞)

C) (-∞, -3]

D) [-3, 6]

16) x2 - 10x + 21 ≥ 0

A) [3, 7]

B) (-∞, 3]

C) (-∞, 3] [7, ∞)

D) [7, ∞)

17) x2 - 11x + 28 < 0

A) (4, 7)

B) (0, 7)

C) (-∞, 7)

D) (-4, 7)

18) -x2 ≤ 5

A) (-∞, 0)

B) (-∞, 0] [√(5), ∞)

C) (-∞, ∞)

D) No solutions

19) x2 < -7

A) (0, 7)

B) No solutions

C) (-∞, ∞)

D) (-∞, 0)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

20) Solve the following inequality: x2 + 5x + 6 ≤ 0

21) Solve the following inequality: 2x2 + 3x - 2 > 0

22) Solve the following inequality: x2 + 6x + 5 > 0

23) Solve the following inequality: 3x2 + 5x - 2 < 0

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

24) Using a graphing calculator, choose the inequality that corresponds to the graph:

A) y > - 2x2

B) y < - 2x2

C) y ≤ - 2x2

D) y ≥ - 2x2

25) Solve the quadratic inequality: (x - 5)(x + 4) > 0

A) x < -5 or x > 4

B) -5 < x < 4

C) x < -4 or x > 5

D) -4 < x < 5

26) Solve the quadratic inequality: (x - 5)(x + 4) ≤ 0

A) x ≤ -4 or x ≥ 5

B) -4 ≤ x ≤ 5

C) -5 ≤ x ≤ 4

D) -4 < x < 5

27) Solve the inequality: (2y - 1)(y + 3) ≥ 0

A) y ≤ -3 or y ≥ (1/2)

B) - (1/2) ≤ y ≤ 3

C) -3 ≤ y ≤ (1/2)

D) y ≤ - (1/2) or y ≥ 3

28) Solve the inequality: (x + 2)(x - 3)(x + 4) < 0

A) x < -4 or 2 < x < 3

B) x < -3 or 2 < x < 4

C) -3 < x < 2 or x > 4

D) -4 < x < -2 or x > 3

29) Solve the inequality: x2 - 9x ≤ 0

A) 0 ≤ x ≤ 9

B) x ≤ 0 or x ≥ 9

C) x ≤ -3 or x ≥ 3

D) -3 ≤ x ≤ 3

30) Solve the inequality: 2y2 + 13y > 15

A) 1(1/2) < y < 5

B) y < 1(1/2) or y > 5

C) y < -7(1/2) or y > 1

D) -7(1/2) < y < 1

31) Solve the inequality: x2 - 10x - 24 < 0

A) 4 < x < 6

B) x < -2 or x > 12

C) x < 4 or x > 6

D) -2 < x < 12

32) Using a graphing calculator, choose the inequality that corresponds to the graph:

A) y ≤ x2 - 2x

B) y ≥ x2 - 2x

C) y > x2 - 2x

D) y < x2 - 2x

33) Choose the inequality that corresponds to the graph:

A) y < x2

B) y ≤ x2

C) y ≥ x2

D) y > x2

Solution
5 (1 Ratings )

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Mathematics 4 Months Ago 14 Views
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