Question

Without calculating, how do you know that the equation |4x-7|=-1 has no solution?

Answer 1

Answer:

2. An absolute.value cannot be negative

Step-by-step explanation:

I.I'll explain it short why absolute.value cannot be negative

 Given |4x - 7| = -1

            4x  = -1 + 7

             4x = 6

               x = 3/2

II. Prove by x = 3/2

            |4($\frac{3}{2}$) - 7| = -1

            |2(3) - 7| = -1

            |6 - 7| = -1

            | -1 | = -1

              1  = -1  false, not true

III. Absolute value is came from $\sqrt{|x|}^{2}$

As you knew square root value cannot be negative

So absolute.value cannot be negative.

Ask me for anything.