Friday

November 28, 2014

November 28, 2014

Posted by **Alex** on Sunday, August 12, 2012 at 10:41pm.

| x+3 | < 0.01

I know the answer is : (-3.01,-2.99)

Please show me how to solve this type of math problem.

- Algebra -
**MathMate**, Sunday, August 12, 2012 at 10:55pmThe absolute value actually represents two cases, the contents are positive (in which case the absolute value does not do much), or if the contents are negative, then the negative sign is dropped.

Mathematically speaking, the above equation can be broken down to two:

x+3 < 0.01 ....(1)

and

-(x+3) < 0.01 ...(2)

Solving (1) gives us

x < 0.01-3 = 2.99, or

x<-2.99

Solving (2) gives us

-(x+3)<0.01

-x-3<0.01

x>-3-0.01=-3.01

So together, we have

x ∈ (-3.01,-2.99)

**Answer this Question**

**Related Questions**

Math - I need help on how to solve this type of problem please. 29.)Solve the ...

Calc 1 - Factoring?? - Solve the inequality. Express the solution sets as ...

algebra final, please help - Solve (x+17)(x-20)(x+8)>0 The solution set is (x...

algebra - Solve the inequality. Express your solution using notation and please ...

College Algebra - Show all work solve the Polynomial inequality and express the ...

Math - Problem4 - Solve the inequality. Express your solution using interval ...

college algebra - 1. find the equation of the line with the given properties. ...

math-please help,need quickly - solve the polynomial inequality and graph the ...

math ergent please... - 10.a)Solve the inequality x^3-5x^2+2x+8<0 by i) using...

Algebra - For the first phase of the project, imagine you want to cover the ...