Which number line represents the solutions to |x + 4| = 2?
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Answer : The first line represents the solutions to |x + 4| = 2.
Given absolute value equation : |x + 4| = 2
To solve an absolute value equation , first step is to remove the absolute value sign.
An absolute value always give a positive result whereas the expression inside the absolute sign can be positive or negative.
Hence, to remove an absolute value we will take both positive an negative value such that
-(x+4)=2 or (x+4)=2
⇒ x+4=-2 or x+4=2
⇒x=-2-4 or x=2-4 [subtract 4 from both the sides]
⇒x= -6 or x= -2 which is given by the first line.
Therefore first line represents the solutions to |x + 4| = 2.