Identifying Absolute Value Equations with No Solution

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Questions and Answers

Which of the following equations has no solution?

  • |-4n - 26| = 0
  • |-36 - 4k - 27| = 0
  • |6 - 4k - 45| = -15 (correct)
  • |4x + 40 - 10| = 6

For which value of $k$ does the equation $|6 - 4k - 45| = -15$ have a solution?

  • There is no value of $k$ that satisfies the equation. (correct)
  • $k = -\frac{1}{4}$
  • $k = -\frac{39}{4}$
  • $k = \frac{1}{4}$

Solve the equation $|4x + 40 - 10| = 6$ for $x$.

  • $x = 7.5$ (correct)
  • $x = -7.5$
  • $x = 0$
  • $x = 5$

What is the solution to the equation $|-4n - 26| = 0$?

<p>$n = 6.5$ (A)</p> Signup and view all the answers

Solve the equation $|-36 - 4k - 27| = 0$ for $k$.

<p>$k = 15.75$ (B)</p> Signup and view all the answers

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