Answer:
See Explanation
Step-by-step explanation:
Given
[tex]|4x - 7| = -1[/tex]
Required:
How do you know, it has no solution
The expression on the left-hand side is an absolute function and the result is always positive.
However, the expression on the right-hand side shows a negative sign.
The negative sign is on the contrary to what an absolute value represent.
Hence, it has no solution.
