Which number line represents the solutions to |x + 4| = 2?
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Answer:
First picture , x=-6 and x=-2
Step-by-step explanation:
1. The idea is isolate x, hence we need to get rid of the +4 and the absolute value from the left side. To get rid of the absolute value, we need to set the right side as positive and negative.
[tex]x+4= +2 \\\\x+4=-2[/tex]
2. Once we get rid of the absolute value, from each equation we solve for x. In the first equation we subtract 4 from both sides:
[tex]x=2-4\\x=-2[/tex]
3. From the second equation, we subtract 4 from both sides
[tex]x=-2-4\\x=-6[/tex]
In conclusion, we get two solutions that meet the initial equality