Linear Inequalities

Q. What is the solution to the inequality 7x + 2 > 5?

A. x > 0.5
B. x < 0.5
C. x ≥ 0.5
D. x ≤ 0.5

Solution

7x + 2 > 5 => 7x > 3 => x > 0.5.

Correct Answer: A — x > 0.5

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Q. What is the solution to the inequality 7x + 2 > 5x + 6?

A. x < 2
B. x > 2
C. x ≤ 2
D. x ≥ 2

Solution

7x + 2 > 5x + 6 => 2x > 4 => x > 2.

Correct Answer: B — x > 2

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Q. What is the solution to the inequality 7x + 2 < 5?

A. x < -1
B. x > -1
C. x < 1
D. x > 1

Solution

7x + 2 < 5 => 7x < 3 => x < -1.

Correct Answer: A — x < -1

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Q. What is the solution to the inequality 7x + 3 > 24?

A. x < 3
B. x > 3
C. x ≤ 3
D. x ≥ 3

Solution

7x + 3 > 24 => 7x > 21 => x > 3.

Correct Answer: B — x > 3

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Q. What is the solution to the inequality 7x + 5 < 2x + 20?

A. x < 3
B. x > 3
C. x < 4
D. x > 4

Solution

7x + 5 < 2x + 20 => 5x < 15 => x < 3.

Correct Answer: A — x < 3

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Q. What is the solution to the inequality 7x - 4 < 3x + 8?

A. x < 3
B. x > 3
C. x < 2
D. x > 2

Solution

7x - 4 < 3x + 8 => 4x < 12 => x < 3.

Correct Answer: B — x > 3

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Q. What is the solution to the inequality 8 - 2x > 0?

A. x < 4
B. x > 4
C. x < 2
D. x > 2

Solution

8 - 2x > 0 => -2x > -8 => x < 4.

Correct Answer: B — x > 4

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Q. What is the solution to the inequality x/2 - 1 ≤ 3?

A. x ≤ 8
B. x ≥ 8
C. x ≤ 6
D. x ≥ 6

Solution

x/2 - 1 ≤ 3 => x/2 ≤ 4 => x ≤ 8.

Correct Answer: A — x ≤ 8

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Q. What is the solution to the inequality x/3 - 2 ≤ 1?

A. x ≤ 9
B. x ≥ 9
C. x < 9
D. x > 9

Solution

x/3 - 2 ≤ 1 => x/3 ≤ 3 => x ≤ 9.

Correct Answer: A — x ≤ 9

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Q. Which of the following is the solution set for the inequality x + 2 > 1?

A. x > -1
B. x < -1
C. x > 1
D. x < 1

Solution

x + 2 > 1 => x > -1.

Correct Answer: A — x > -1

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Q. Which of the following is the solution set for the inequality x + 2 > 7?

A. x > 5
B. x < 5
C. x > 9
D. x < 9

Solution

x + 2 > 7 => x > 5.

Correct Answer: A — x > 5

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Q. Which of the following is the solution set for the inequality x + 5 > 2?

A. x > -3
B. x < -3
C. x > 3
D. x < 3

Solution

x + 5 > 2 => x > -3.

Correct Answer: A — x > -3

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Q. Which of the following is the solution set for the inequality: 3x + 2 > 11?

A. x > 3
B. x < 3
C. x > 2
D. x < 2

Solution

3x + 2 > 11 => 3x > 9 => x > 3.

Correct Answer: A — x > 3

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Q. Which of the following is the solution to the inequality 3x + 2 ≥ 11?

A. x < 3
B. x > 3
C. x ≤ 3
D. x ≥ 3

Solution

3x + 2 ≥ 11 => 3x ≥ 9 => x ≥ 3.

Correct Answer: D — x ≥ 3

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Q. Which of the following is the solution to the inequality x + 2 > 7?

A. x < 5
B. x > 5
C. x < 9
D. x > 9

Solution

x + 2 > 7 => x > 5.

Correct Answer: B — x > 5

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Q. Which of the following represents the solution to the inequality 4 - x < 1?

A. x > 3
B. x < 3
C. x > 4
D. x < 4

Solution

4 - x < 1 => -x < -3 => x > 3

Correct Answer: A — x > 3

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Q. Which of the following represents the solution to the inequality 4 - x < 2?

A. x < 2
B. x > 2
C. x < 4
D. x > 4

Solution

4 - x < 2 => -x < -2 => x > 2.

Correct Answer: B — x > 2

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Q. Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?

A. x ≤ 3
B. x ≥ 3
C. x < 3
D. x > 3

Solution

6x - 4 ≤ 2x + 8 => 4x ≤ 12 => x ≤ 3.

Correct Answer: B — x ≥ 3

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Q. Which of the following represents the solution to the inequality 7x - 4 < 10?

A. x < 2
B. x > 2
C. x < 3
D. x > 3

Solution

7x - 4 < 10 => 7x < 14 => x < 2.

Correct Answer: C — x < 3

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Q. Which of the following represents the solution to the inequality x/3 + 2 < 5?

A. x < 9
B. x > 9
C. x < 6
D. x > 6

Solution

x/3 + 2 < 5 => x/3 < 3 => x < 9.

Correct Answer: A — x < 9

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Q. Which of the following represents the solution to the inequality x/3 - 2 < 1?

A. x < 9
B. x > 9
C. x ≤ 9
D. x ≥ 9

Solution

x/3 - 2 < 1 => x/3 < 3 => x < 9.

Correct Answer: A — x < 9

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Showing 181 to 201 of 201 (7 Pages)

Linear Inequalities

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