Posted by **greg** on Friday, June 16, 2006 at 10:54am.

(x-4)/(2x+4) is greater than or equal to 1.

How do i express solutions to inequalities in interval notation without using the calculator? please help.

(x-4)/(2x+4) >=1

multiplying by 2x+4

1) when (2x+4) is +,

x-4>=2x+4 or

x-2x>=8

-x>=8

x<=-8 notice the inequality reversed when multiplying by -1

2) when (2x-4) is -, you can work it out, but it should end up x>=-8

So the question then is when does 2x-4 become + or -

2x+4=0

x=-2 So for x<-2, 2x+4 is negative. looking at 1), we said the domain of the function was x<=-8 when 2x+4 was postive, but 2x+4 is postive when x>-2, so there is no x that can be <-8 and >-2, the solution does not exist.

Examining 2), x>=-8 for when 2x+4 is negative, but for 2x+4 to be negative, then x<-2. soe the range for x is between -8 and -2. Check Now, three values: x=-10; -5; 0 See if the inequality given works for -5 but not the other values of x.

2x+15>3

i need help on it , i really dont understand

Don't Know!Don't care!

## Answer this Question

## Related Questions

- math - (x-4)/(2x+4) is greater than or equal to 1. How do i express solutions to...
- Math - Solve the inequality by first rewriting it as an equivalent inequality ...
- MATH - Give a response of at least 50 words to the following: Describe the graph...
- Solve Inequality - Solve the inequality. Express your solution using interval ...
- algebra - solve the inequality. Express the solution using interval notation and...
- Algebra - Use a graphing calculator or a computer to graph the system of ...
- Algebra II - I need some help with some problems as well as need some checked. ...
- Algebra - Right now we are learning about absolute value inequalities. I have to...
- Math - Problem4 - Solve the inequality. Express your solution using interval ...
- College algebra - use interval notation to express the solution set of the ...

More Related Questions