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Mathematics
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Algebra
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How can you tell when the circle will be shaded and not shaded?
Because it is a less than, there is a conjunction. The fact that it represents an absolute value of the equation, you remove the abs value sign and get that 2x-6<4 and 2x-6<-4. Solving both of those gives you x<5 and x<1. The conjunction tells you that x is between the two values: 1<x<5. #4 is your answer.
Not shaded is like this: \[x >5\]Shaded is like this:\[x \ge5\]The first is just "greater than" the second is "greater than or equal to" cuz of the little line under the sign.
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