Inconsistent Equation
An equation that is never true for any value of its variables.
Examples
- The equation [latex]x^2[/latex] = –5 is a contradiction, since no squared number can give –5 as a result.
- The equation 5x – 2(x + 4) = 8 + 3x is a contradiction, since its solution gives 0x = 16, which is not possible.