Math 103 Chapter 9: Solve Absolute Value Equations
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Questions and Answers

What is the interval notation for the inequality |x - 1| - 3 ≤ 2?

  • [4, 6]
  • (-∞, 6]
  • [-4, 6] (correct)
  • (-∞, -4] ∪ [6, ∞)
  • What is the interval notation for the inequality |2x + 5| + 5 ≤ 3?

  • [-4, 4]
  • [-4, -2]
  • No solution (correct)
  • [-2, 2]
  • What is the solution set for the inequality |x + 5| < -2?

  • All real numbers
  • No solution (correct)
  • Negative real numbers
  • Positive real numbers
  • What is the solution set for the inequality |x + 5| ≤ 0?

    <p>Only one solution</p> Signup and view all the answers

    What is the interval notation for the inequality |x + 5| < 0?

    <p>There is no interval notation since the solution is only one value, x = -5.</p> Signup and view all the answers

    What is the solution set for the inequality $|x - 6| extgreater 10$?

    <p>$x extless -4$ or $x extgreater 16$</p> Signup and view all the answers

    What is the solution set for the equation $|4x| extless 12$?

    <p>$x extgreater 3$</p> Signup and view all the answers

    What is the solution of the equation $|x - 3| = 1$?

    <p>$x = 3$</p> Signup and view all the answers

    What is the solution set for $|x - 3| extless 0$ inequality?

    <p>$x extless 3$</p> Signup and view all the answers

    What is the interval notation for the inequality $|x - 3| = -1$?

    <p>No solution</p> Signup and view all the answers

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