Posted by **Chelsea** on Wednesday, February 1, 2012 at 4:09pm.

Solve the inequality by first rewriting it as an equivalent inequality without absolute value bars. Express solution set using interval notation.

| x+3 | +8 is less than or equal to 14

Thanks so much for helping me!

- Math -
**Henry**, Friday, February 3, 2012 at 4:09pm
|x+3| + 8 <= 14,

|x+3| <= 6,

+-(x+3)<= 6,

+(x+3) <= 6,

x+3 >= 6,

X <= 6-3,

X <= 3.

-(x+3) <= 6,

-x - 3 <= 6,

-x <= 6+3,

-x <= 9,

X >= -9.

Solution set: -9 =< X <= 3.

Intrval notation: [-9,3].

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