SOLUTION: This is a mixture of inequalities and absolute values. Solve the following absolute value in equalities: |x+1| is less than or equal to |x-3|

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Question 635935: This is a mixture of inequalities and absolute values.
Solve the following absolute value in equalities:
|x+1| is less than or equal to |x-3|

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
This is a mixture of inequalities and absolute values.
Solve the following absolute value in equalities:
|x+1| is less than or equal to |x-3|
**
|x+1|≤|x-3|
solve for 2 conditions:
x+1≤x-3
1≤-3 (reject, not true)
..
x+1≤-x+3
2x≤2
x≤1
solution: (-∞,1]

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