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: 211
| Attempts: 212
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  • 1/6 Questions
    * Solve:              - ProProfs

    * Solve:             

    • X < 1 or x ≥ 2
    • 1 < x < 2
    • X < 2 or x ≥ 1
    • No solution!
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About This Quiz

This quiz focuses on solving compound and absolute value inequalities. It assesses understanding of mathematical concepts and skills in determining the range of values that satisfy given inequalities, crucial for algebraic problem-solving.

Inequalities: Compound And Absolute Value - Quiz

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  • 2. 
    * Solve:                    - ProProfs

    * Solve:                   

    • -1 ≤ w < 5

    • -2 ≤ w < 10

    • W ≤ -1 or w ≥ 5

    • No solution!

    Correct Answer
    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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  • 3. 
    * Solve:          - ProProfs

    * Solve:         

    • X < 1 or x > 5

    • 1 < x < 5

    • X < -1 or x > -5

    • X < -5 or x > -1

    Correct Answer
    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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  • 4. 
    * Solve:                 - ProProfs

    * Solve:                

    • K ≤ - 2 or k ≥ 3

    • -2 ≤ k ≤ 3

    • K ≤ -3 or k ≥ 2

    • -3 ≤ k ≤ 2

    Correct Answer
    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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  • 5. 
    Which inequality is represented by the graph below: - ProProfs

    Which inequality is represented by the graph below:

    Correct Answer
    A.
  • 6. 
    * Solve:   - ProProfs

    * Solve:  

    • -9 ≤ n ≤ -1

    • N ≤ -9 or n ≥ -1

    • N ≤ -1 or n ≥ 9

    • -1 ≤ n ≤ 9

    Correct Answer
    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.

    Rate this question:

Quiz Review Timeline (Updated): Mar 19, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

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