Answer: The fourth number line represents the solutions to –2|x| = –6
Step-by-step explanation:
Given equation: ![-2|x|=-6](https://tex.z-dn.net/?f=-2%7Cx%7C%3D-6)
To solve the given equation, first divide -2 on both the sides, we get
![|x|=\frac{-6}{-2}\\\Rightarrow|x|=3](https://tex.z-dn.net/?f=%7Cx%7C%3D%5Cfrac%7B-6%7D%7B-2%7D%5C%5C%5CRightarrow%7Cx%7C%3D3)
Thus the absolute value of x=3
We know that the absolute value is the distance between a number and zero.
Therefore, the distance between x and zero is 3
Therefore, x=3 and -3
This solution is represented by the fourth number line .
Answer:
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Answer:
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