Inequalities: Compound And Absolute Value

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

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Inequalities: Compound And Absolute Value - Quiz


Questions and Answers
  • 1. 

    * Solve:         

    • A.

      X < 1 or x > 5

    • B.

      1 < x < 5

    • C.

      X < -1 or x > -5

    • D.

      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.

    Rate this question:

  • 2. 

    * Solve:  

    • A.

      -9 ≤ n ≤ -1

    • B.

      N ≤ -9 or n ≥ -1

    • C.

      N ≤ -1 or n ≥ 9

    • D.

      -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:

  • 3. 

    * Solve:                

    • A.

      K ≤ - 2 or k ≥ 3

    • B.

      -2 ≤ k ≤ 3

    • C.

      K ≤ -3 or k ≥ 2

    • D.

      -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.

    Rate this question:

  • 4. 

    * Solve:             

    • A.

      X < 1 or x ≥ 2

    • B.

      1 < x < 2

    • C.

      X < 2 or x ≥ 1

    • D.

      No solution!

    Correct Answer
    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.

    Rate this question:

  • 5. 

    * Solve:                   

    • A.

      -1 ≤ w < 5

    • B.

      -2 ≤ w < 10

    • C.

      W ≤ -1 or w ≥ 5

    • D.

      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.

    Rate this question:

  • 6. 

    Which inequality is represented by the graph below:

    Correct Answer
    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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