Equations And Inequalities Verified Test Bank Ch.1 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Equations And Inequalities Verified Test Bank Ch.1

College Algebra, 5e (Young)

Chapter 1 Equations and Inequalities

1.6 Polynomial and Rational Inequalities

1) Solve the polynomial inequality and express the solution set in interval notation.

(x) with superscript (2) - 3x ≤ 10

A) (-∞, -2] ∪ [5, ∞)

B) (-∞, -2) ∪ (5, ∞)

C) (-2, 5)

D) [-2, 5]

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

2) Solve the polynomial inequality and express the solution set in interval notation.

4(x) with superscript (2) ≤ x + 3

A) ((9/4), - (7/3))

B) ((9/4), - (7/3)

C) [- (9/4), (7/3)]

D) (- (9/4), (7/3))

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

3) Solve the polynomial inequality and express the solution set in interval notation.

(x) with superscript (2) > 8x - 15

A) (-∞, 3) ∪ (5, ∞)

B) (-∞, 3] ∪ [5, ∞)

C) (3, 5)

D) [3, 5]

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

4) Solve the polynomial inequality and express the solution set in interval notation.

(u) with superscript (2) ≥ 10u

A) (0, 10)

B) (-∞, 0) ∪ (10, ∞)

C) (-∞, 0] ∪ [10, ∞)

D) [0, 10]

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

5) Solve the polynomial inequality and express the solution set in interval notation.

(t) with superscript (2) ≤ -16t

A) (-16, 0)

B) (-∞, -16) ∪ (0, ∞)

C) (-∞, -16] ∪ [0, ∞)

D) [-16, 0]

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

6) Solve the polynomial inequality and express the solution set in interval notation.

(y) with superscript (2) < 2y

A) (0, 2)

B) (-∞, 0) ∪ (2, ∞)

C) (-∞, -2) ∪ (2, ∞)

D) [0, 2]

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

7) Solve the polynomial inequality and express the solution set in interval notation.

-(x) with superscript (2) > -16

A) (-∞, -4) ∪ (4, ∞)

B) (-∞, ∞)

C) (-4, 4)

D) Empty set

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

8) Solve the polynomial inequality and express the solution set in interval notation.

-(t) with superscript (2) ≤ -1

A) (-∞, -1] ∪ [1, ∞)

B) (-∞, ∞)

C) [-1, 1]

D) Empty set

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

9) Solve the polynomial inequality and express the solution set in interval notation.

17(u) with superscript (2) > 6u

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

10) Solve the rational inequality and express the solution set in interval notation.

(8x/x + 9) < 0

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

11) Solve the rational inequality and express the solution in interval notation.

((x) with superscript (2)/(x) with superscript (2) + 69) ≥ 0

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

12) Solve the rational inequality.

(5(t) with superscript (2)/t + 6) ≥ 8t

A) (-∞, - 16 ∪ (-6, 0]

B) (-∞, - 16 ∪ [-6, 0]

C) [- 16, -6 ∪ [0, ∞)

D) [- 16, -6] ∪ [0, ∞)

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

13) Solve the rational inequality.

(8/x + 4) - (4/x - 3) ≤ 0

A) (-4, 3) ∪ [10, ∞

B) (-∞, -4] ∪ [3, 10]

C) (-∞, -4] ∪ (3, 10

D) (-4, 3] ∪ [10, ∞

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

14) Solve the rational inequality.

(6/p - 3) - (6/p + 3) ≥ (35/(p) with superscript (2) - 9)

A) [-3, 3]

B) (-∞, -3) ∪ (3, ∞)

C) (-∞, -3] ∪ [3, ∞)

D) (-3, 3)

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

15) Solve the polynomial inequality and express the solution set in interval notation.

10(x) with superscript (2) ≤ -3x + 18

A) (-3/2, 6/5)

B) [-3/2, 6/5]

C) [-6/5, 3/2]

D) (-6/5, 3/2)

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

16) Solve the polynomial inequality and express the solution set in interval notation.

21(x) with superscript (2) > 36x + 81

A) (-9/7, 3)

B) (-∞, -9/7) ∪ (3, ∞)

C) (-∞, -9/7] ∪ (3, ∞)

D) (-∞, -3) ∪ (9/7, ∞)

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve polynomial inequalities.

17) Solve the rational inequality and graph the solution on the real number line.

(-4/x) ≤ 0

A number line is shaded to the right of a left parenthesis at 0.

x < 0

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

18) Solve the rational inequality and graph the solution on the real number line.

(5/x) ≤ 0

A)

A number line is shaded to the left of a right bracket at 5.

B)

A number line is shaded to the left of a right parenthesis at 0.

C)

A number line is shaded to the left of a right bracket at 0.

D)

A number line is shaded to the right of a left bracket at 0.

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

19) Solve the rational inequality and graph the solution on the real number line.

(7/x) ≥ 0

A number line is shaded to the right of a left parenthesis at 0.

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

20) Solve the rational inequality and graph the solution on the real number line.

(3/x) ≥ 0

A)

A number line is shaded to the right of a left bracket at 3.

B)

A number line is shaded to the right of a left parenthesis at 0.

C)

A number line is shaded to the right of a left bracket at 0.

D)

A number line is shaded to the left of a right bracket at 0.

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

21) Solve the rational inequality and graph the solution on the real number line.

(2(x) with superscript (2) - 8x/4 + x) ≤ 0

A)

A number line is shaded between a left bracket at 0 and a right bracket at 4 and to the left of a right parenthesis at negative 4.

B)

A number line is shaded between a left bracket at 0 and a right bracket at 4 and to the left of a right bracket at negative 4.

C)

A number line is shaded between a left parenthesis at 0 and a right parenthesis at 4 and to the left of a right parenthesis at negative 4.

D)

A number line is shaded between a left parenthesis at negative 4 and a right bracket at 0 and to the right of a left bracket at 4.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

22) Solve the rational inequality and graph the solution on the real number line.

(2(x) with superscript (2) - 4x/2 + x) ≥ 0

A)

A number line is shaded between a left bracket at 0 and a right bracket at 2 and to the left of a right parenthesis at negative 2.

B)

A number line is shaded between a left bracket at negative 2 and a right bracket at 0 and to the right of a left bracket at 2.

C)

A number line is shaded between a left parenthesis at negative 2 and a right parenthesis at 0 and to the right of a left parenthesis at 2.

D)

A number line is shaded between a left parenthesis at negative 2 and a right bracket at 0 and to the right of a left bracket at 2.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

23) Solve the rational inequality and graph the solution on the real number line.

(2(x) with superscript (2) - 4x/1 + x) ≤ 0

A number line is shaded between a left bracket at 0 and a right bracket at 2 and to the left of a right parenthesis at negative 1.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

24) Solve the rational inequality and graph the solution on the real number line.

(2(x) with superscript (2) - 6x/5 + x) ≥ 0

A number line is shaded between a left parenthesis at negative 5 and a right bracket at 0 and to the right of a left bracket at 3.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

25) Solve the rational inequality and graph the solution on the real number line.

(5(x) with superscript (2) - x/3 + x) ≤ 3x

A number line is shaded between a left bracket at 0 and a right bracket at 5 and to the left of a right parenthesis at negative 3.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

26) Solve the rational inequality and graph the solution on the real number line.

(6(x) with superscript (2) + 10x/3 + x) ≥ 4x

A number line is shaded between a left parenthesis at negative 3 and a right bracket at 0 and to the right of a left bracket at 1.

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

27) Solve the rational inequality. Express the answer in interval notation.

(5/x + 5) - (2/x + 2) ≤ (4/(x) with superscript (2) + 7x + 10)

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 06

Learning Objective: Solve rational inequalities.

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Document Type:
DOCX
Chapter Number:
1
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 1 Equations And Inequalities
Author:
Cynthia Y. Young

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