4 important types of absolute value equation

Absolute Value Equation

There are 4 main type of absolute value equation regarding whether there are;

  1. absolute value and a static value
  2. absolute value and an expression involving unknown pronumerals
  3. two absolute values and a value
  4. two absolute values in both sides

Type 1 of Absolute Value Equation

Solve \( | x-2 | = 5 \).

Type 3 of Absolute Value Equation

Solve \( | x+2 | + |x-3| = 7 \).

Type 4 of Absolute Value Equation

Solve \( | x-1 | = |3-x| \).