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scoundrel [369]
3 years ago
8

(2.03)

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0
Given the definition of the absolute value function, there are two possibilities for the next step.

Rember that |x| = x when x is positive and |x| is - x when x is negative.

So, these are the two possibilities for |x - 2| = 4

1) When the content inside the absolute value is positive,  you can state x - 2 = 4

2) When the content inside the absolute value is negative  you can state x - 2 = - 4.

So, the answer is

x - 2 = 4 and x - 2 = - 4.

I found this list of choices for this question:

<span>a. x + 2 = −4
b. −x − 2 = 4
c. x + 2 = 4
d. x − 2 = −4
</span>
In that list , the only right is x - 2 = - 4, so choose it.

Answer: option d. x - 2 = - 4


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