The Absolute Value: 2|x| ---> 3
Look for the Absolute Value in the equality that we have found (entered) 2|x| ---> 3
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Your first term: 2|x|
If you had a negative term: -2×(x)
But, if youre working with the positive term then it would be: +2×(x)
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Now, 2 × x ----> 3
The value of 'x' becomes a negative
So, -x = 3 over the number 2 ( 3 / 2 <--- this is what I am talking about if in case you don't get what I am saying )
Since you don't have anything else ... lets make a -1 from each other of your sides
the fraction becomes negative as well
x = 3 / 2
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2[x] ----> 3
2 [x] ---> 3
If we divide by the number 2 we get the value of x as -----> 3 / 2
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For the first one: 3 / 2
For the second one: -3 / 2
Therefore we finally get to your result, which is: ✅A: [-3 / 2 , 3 / 2} ✅
