Solving absolute value equations - Absolute Value

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Solving absolute value equations

An absolute value or modulus of a real number is always positive. Therefore, when solving absolute value equations, we need to establish two cases for each equation. One case is to set the quantity inside the absolute value notation as positive; whereas another case is to set the value as negative.

Lessons

  • 1.
    Solving Equations with One Absolute Value
    Solve each absolute value equation:
    i) algebraically
    ii) verify the solution graphically
    • a)
      x+4=5x2\left| {x + 4} \right| = 5x - 2
  • 2.
    Solving Equations with Two Absolute Values
    Solve each absolute value equation:
    i) algebraically
    ii) verify the solution graphically
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Solving absolute value equations

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