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Sagot :
[tex]||x|+2|=2[/tex]
if x≥0 then |x|=x
if x<0 then |x|=-x
1) for x≥0
[tex]|x+2|=2 \\ x+2=2 \ \lor \ x+2=-2 \\ x=0 \in D \ \lor \ x=-4 \notin D[/tex]
2) for x<0
[tex]|-x+2|=2 \\ -x+2=2 \ \lor \ -x+2=-2 \\ -x=0 \ \lor \ -x=-4 \\ x=0 \notin D \ \lor \ x=4 \notin D[/tex]
The answer is:
[tex]x=0[/tex]
if x≥0 then |x|=x
if x<0 then |x|=-x
1) for x≥0
[tex]|x+2|=2 \\ x+2=2 \ \lor \ x+2=-2 \\ x=0 \in D \ \lor \ x=-4 \notin D[/tex]
2) for x<0
[tex]|-x+2|=2 \\ -x+2=2 \ \lor \ -x+2=-2 \\ -x=0 \ \lor \ -x=-4 \\ x=0 \notin D \ \lor \ x=4 \notin D[/tex]
The answer is:
[tex]x=0[/tex]
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