SOLUTION: |x+3|<5 i got (2,8) 2 was correct 8 was not what did i do wrong? what is other value?

Question 420299: |x+3|<5 i got (2,8) 2 was correct 8 was not what did i do wrong? what is other value?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
x+3|<5 i got (2,8) 2 was correct 8 was not what did i do wrong? what is other value?
..
Whenever you have a variable in the absolute expression, you must solve for two possibilites:
When the expression could be =>0
When the expression could be <0
In this case the expression is (x+3)
..
x+3<5
x<2
..
-x-3<5
-x<8
multiply by (-1) and reverse inequality sign
x>-8
..
solution:
(-8,2)
RELATED QUESTIONS
For g(x)=x^3-6x^2-13x+42: a. Prove x-2 is a factor (by using the remainder theorem). b. (answered by MathLover1,solver91311)

Find the maximum value of y = -x^2 + 6x. The answer I got was 8 but it was not... (answered by 303795)

Please help me solve this equation:{{{ x= sqrt ( x+20 ) }}}. what i have tried is... (answered by richard1234)

It's factoring patterns. I did solve this one, but I am not sure what I did wrong. The... (answered by jim_thompson5910)

Follow the process of completing the square to solve x^2-10x+8=0. What is the value of (answered by jorel555,ikleyn)

one of my problems for a domain and range section was pretty difficult...I'm not sure... (answered by hayek)

Please tell me what I did wrong on the last part of this math problem and what is the... (answered by ewatrrr)

I got this question wrong at school. The question is 5-r=-2. MY answer was 3 but it was... (answered by Alan3354)

I just took a math test and was disappointed to see that I got a "C." I had worked very... (answered by chessace)