And show works, please.
-
to get rid of the absolute sign,
1. when x ≥ 3,
x - 3 > 4
x > 7
2. when x < 3
-(x - 3) > 4
-x + 3 > 4
-x > 1
x < -1
answer: x < -1 or x > 7
1. when x ≥ 3,
x - 3 > 4
x > 7
2. when x < 3
-(x - 3) > 4
-x + 3 > 4
-x > 1
x < -1
answer: x < -1 or x > 7
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x - 3 > 4 or x - 3 < -4
x > 4 + 3 or x < -4 + 3
x > 7 or x < -1
x > 4 + 3 or x < -4 + 3
x > 7 or x < -1
-
|x − 3| > 4
|x| > 4 + 3
-1
-
-
|x| > 4 + 3
-1
-
x < -1 || x > 7
-
>7
and
<-1
and
<-1
1
keywords: set,the,gt,minus,solution,Find,Find the solution set: |x − 3| > 4