Question

Which equation has no solution?

|–x – 3| = 5
|2x – 1| = 0
|5 – 3x| = –8
|–x + 9| = 0

Answer 1

For this question, you should remember that the absolute value of a given number refers to its distance from the origin in the number line. Therefore, it is never negative. In symbols, we can write:
\(|y| \geq 0\), for all \(y\).
Can you now see which of the equations has no solution? \(\ddot{\smile}\)