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 (B)</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. (B)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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