Question

3) | 2x - 5] = -7: |5) |8x – 4(2x + 3) = 15​

Answer 1

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Answer 2

Let's solve these two absolute value equations step by step:

1. |2x - 5| = -7

Absolute values are always non-negative, so an absolute value can never be equal to a negative number. Therefore, the equation |2x - 5| = -7 has no solutions.

2. |8x - 4(2x + 3)| = 15

First, simplify the expression inside the absolute value:

|8x - 4(2x + 3)| = 15

|8x - 8x - 12| = 15

|(-12)| = 15

Now, we can see that the absolute value of -12 is 12:

|(-12)| = 12

So, the equation simplifies to:

12 = 15

This equation is not true. There are no values of x that will make it true. Therefore, there are no solutions to this equation either.

In summary, both equations have no solutions:

1. |2x - 5| = -7 has no solutions.
2. |8x - 4(2x + 3)| = 15 has no solutions.