Answer: Option 1 .
Step-by-step explanation:
The given absolute value equation is l x+4 l=2.
Solving the absolute value equation we have:
x+4= 2 or x+4=-2
x=2-4 or x=-2-4
x=-2. or x=-6.
Check the answer:
x=-2
l -2+4 l =l 2 l =2.True.
x=-6
l x+4 l = l -6+4 l=l -2 l = 2. True.
The solutions are x=-2,-6.
These solution is represented by the first graph.
