# Inequalities: Compound And Absolute Value

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| By Tom Plocker
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Tom Plocker
Community Contributor
Quizzes Created: 1 | Total Attempts: 200
Questions: 6 | Attempts: 202

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• 1.

### * Solve:

• A.

X < 1 or x > 5

• B.

1 < x < 5

• C.

X < -1 or x > -5

• D.

X < -5 or x > -1

A. X < 1 or x > 5
Explanation
The given answer x < 1 or x > 5 is correct because it represents the correct solution to the given inequality x < 1 or x > 5. This means that x can be any value that is less than 1 or greater than 5.

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• 2.

### * Solve:

• A.

-9 ≤ n ≤ -1

• B.

N ≤ -9 or n ≥ -1

• C.

N ≤ -1 or n ≥ 9

• D.

-1 ≤ n ≤ 9

A. -9 ≤ n ≤ -1
Explanation
The correct answer is -9 ≤ n ≤ -1. This is because the inequality -9 ≤ n ≤ -1 means that n can take any value between -9 and -1, including -9 and -1 themselves. It satisfies all the given conditions in the question.

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• 3.

### * Solve:

• A.

K ≤ - 2 or k ≥ 3

• B.

-2 ≤ k ≤ 3

• C.

K ≤ -3 or k ≥ 2

• D.

-3 ≤ k ≤ 2

A. K ≤ - 2 or k ≥ 3
Explanation
The correct answer is k ≤ -2 or k ≥ 3. This is because the given inequality represents two separate ranges for the variable k. The first range, k ≤ -2, includes all values of k that are less than or equal to -2. The second range, k ≥ 3, includes all values of k that are greater than or equal to 3. Therefore, the correct answer is the combination of these two ranges, k ≤ -2 or k ≥ 3.

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• 4.

### * Solve:

• A.

X < 1 or x ≥ 2

• B.

1 < x < 2

• C.

X < 2 or x ≥ 1

• D.

No solution!

A. X < 1 or x ≥ 2
Explanation
The given answer, "x < 1 or x ≥ 2", is correct because it represents the solution to the given inequalities. The statement "x < 1 or x ≥ 2" means that x can be any value that is less than 1 or any value that is greater than or equal to 2. This covers all possible values of x that satisfy the given inequalities.

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• 5.

### * Solve:

• A.

-1 ≤ w < 5

• B.

-2 ≤ w < 10

• C.

W ≤ -1 or w ≥ 5

• D.

No solution!

A. -1 ≤ w < 5
Explanation
The given inequalities state that w must be greater than or equal to -1 and less than 5. This means that w can take any value between -1 and 5, including -1 but not including 5. Therefore, the correct answer is -1 ≤ w < 5.

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• 6.

### Which inequality is represented by the graph below:

A.

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• Current Version
• Mar 19, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 26, 2014
Quiz Created by
Tom Plocker

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