Question

Without calculating, how do you know that the equation |4x - 71 = -1 has no solution?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$|4x - 7| = -1$

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.