Answered

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

1. An absolute value cannot be positive.

2. An absolute value cannot be negative.

3. An absolute value equation must have one side equal to zero.

4. An absolute value cannot contain a negative constant inside it.

Sagot :

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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([tex]\frac{3}{2}[/tex]) - 7| = -1

            |2(3) - 7| = -1

            |6 - 7| = -1

            | -1 | = -1

              1  = -1  false, not true

III. Absolute value is came from [tex]\sqrt{|x|}^{2}[/tex]

As you knew square root value cannot be negative

So absolute.value cannot be negative.

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