Respuesta :

The third one.

Because the answer of the absulate value equations is always positive.

Answer:

Therefore,  |5 – 3x| = –8  has no solution.

Step-by-step explanation:

Given  :  |–x – 3| = 5

              |2x – 1| = 0

              |5 – 3x| = –8

              |–x + 9| = 0.

To find  : Which equation has no solution.

Solution : We have given that |–x – 3| = 5

                                                  |2x – 1| = 0

                                                  |5 – 3x| = –8

                                                   |–x + 9| = 0

As we know that values outside the modulus is positive or zero.

Then, all the option has positive values or zero except  |5 – 3x| = –8 .

If we plug any values of x it would not be equal to -8 .

Therefore,  |5 – 3x| = –8  has no solution.

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