SOLUTION: Solve: abs(2x+1)+1<=8 Solving the absolute value I get -5<=x<=8, but my calculator gives me -4<=x<=8

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Question 1084597: Solve: abs(2x+1)+1<=8
Solving the absolute value I get -5<=x<=8, but my calculator gives me -4<=x<=8


Found 3 solutions by josgarithmetic, MathLover1, Alan3354:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
abs(2x+1)+1<=8


-


Either or .

NON-NEGATIVE




NEGATIVE CASE




SOLUTION:

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


...recall that ; so, you have and
then,





or








solution:


postimage




Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
|2x+1| + 1 <= 8
-----
|2x+1| <= 7
2x+1 <= 7
x <= 3
-------------
-(2x+1) <= 7
-2x <= 8
-x <= 4
0 <= x+4
-4 <= x
=====================
-4 <= x <= 3

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