SOLUTION: I am working on Solving Compound Inequalities The problem I'm working on is as follows: Solve the compound inequality, if possible. Graph the solution set (if one exists) and wr

Question 348550: I am working on Solving Compound Inequalities
The problem I'm working on is as follows:
Solve the compound inequality, if possible. Graph the solution set (if one exists) and write it using interval notation:
or
I've solved both linear equations and have what follows:
or
My problem is the interval notation. I graphed the answers & I don't understand why the answer in the back of the book is (-infinity, 1).
They intersect at -9/2. I thought the answer would be no solution.
The only thing I can think of, is that if the answer intersects and goes both ways, the answer is (-infinity, infinity), but since this one is only going negative, it's (-infinity, 1).
Thank you for your time!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: I'm assuming that the first inequality should be and the solution to that inequality is

Since x can be either less than or equal to -5 or less than 1, this means that the solution set is really just (since is less than 1). We can completely ignore as this entire solution set lies within

So the solution to or is and it is represented in interval notation by

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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