What are the solutions of the following equation? |2x + 9| – 5 = -5 Give your answer in words.

To solve the equation (|2x + 9| – 5 = -5), we start by isolating the absolute value.

1. Add 5 to both sides:

[

|2x + 9| = 0

]

2. The absolute value equals zero when the expression inside is zero, so we set the inside equal to zero:

[

2x + 9 = 0

]

3. Solve for (x):

[

2x = -9 \

x = -frac{9}{2}

]

Now, we check the answer against the options given. The solution (x = -frac{9}{2}) corresponds to option C.

Thus, the answer is:

C) Only x = -9/2.

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