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October 31, 2014

October 31, 2014

Posted by **Cassie** on Friday, August 23, 2013 at 12:02am.

Absolute value x+1 inside absolute brackets -3<4

Where would this be on a graph line?

- Algebra-help please -
**Steve**, Friday, August 23, 2013 at 12:24amNot clear just what you mean, but if it's

|x+1| - 3 < 3

|x+1| < 6

Then either x+1 >= 0 (x >= 1) and

x+1 < 6

x < 5

or x+1 < 0 (x < -1) and

-(x+1) < 6

-x < 7

x > -7

So, we have

-7 < x < -1 or -1<=x<5

that is,

-7 < x < 5

- Algebra-help please -
**Cassie**, Friday, August 23, 2013 at 12:45amoriginal problem was <4 at the end not <3....thanks for your help...It was hard to explain.

- Algebra-help please -
**Steve**, Friday, August 23, 2013 at 4:23amOops. My bad. Make the change and solve again. The key is to solve for the two cases where the expression in || is positive or negative.

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