Posted by **Rachale** on Tuesday, July 21, 2009 at 12:22am.

Solve the inequality:

x+8 over x-1 > OR = 0

Write the solution set in interval notation. Show work/explanation.

- Algebra -
**Reiny**, Tuesday, July 21, 2009 at 8:26am
Here is how I do these...

First of all it should be obvious that x cannot be 1, or else we are dividing by zero.

I see 2 critical values, namely x = -8 and x = 1

this splits the number line into 3 sections,

1. less than -8

2. between -8 and 1

3. greater than 1

I then pick an "nice" number in each section and mentally check to see if it works in my inequation.

In most cases you don't actually have to work out the answer, just the correct sign of the answer.

1. let x= -10, .... is -/- ≥ 0 ? YES

2. let x = 0, .... is +/- ≥ 0 ? NO

3. let x = +10 ... is +/+ ≥ 0 ? YES

so x ≤ -8 OR x > 1 , x any real number.

You can change that into the "interval notation" that you were taught.

## Answer this Question

## Related Questions

- Algebra - Just wondering if I did this correctly step by step. If not ...
- Solve Inequality - Solve the inequality. Express your solution using interval ...
- math - solve the polynomial inequality and graph the solution set on a real ...
- algebra - solve the inequality and write the solution set using interval ...
- Algebra - Solve and express in interval notation Solve: |5 – 8x| > 11 and ...
- math-please help,need quickly - solve the polynomial inequality and graph the ...
- calculus - solve the following inequality. write your solution in interval ...
- algebra - Solve the following inequality and write your answer using interval ...
- College Algebra - Show all work solve the Polynomial inequality and express the ...
- algebra - Solve the following inequality and write answer using interval ...

More Related Questions