What are the solutions of the following equation?
|2x + 9| – 5 = -5
Choose 1 answer:
A) x = -7 or x = -2
B) Only x = 9
C) Only x = -9/2
D) There are no solutions.
What are the solutions of the following equation? |2x + 9| – 5 = -5 Give your answer in words.
![[Deleted User]](https://quizzma.com/wp-content/plugins/WPQA/images/default-image.png "[Deleted User]"){kind=avatar}
Share
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.
Great job working through that! If you need more explanations or have additional questions, feel free to ask or check for more in-depth assistance!