SOLUTION: I'm having some issues w/ this problem and could use your help please! x + 4 / x + 1 >= 0 I'm coming up with x ≤ -4 or x > -1, is that correct? For interval notation I

Algebra ->  Expressions-with-variables -> SOLUTION: I'm having some issues w/ this problem and could use your help please! x + 4 / x + 1 >= 0 I'm coming up with x ≤ -4 or x > -1, is that correct? For interval notation I       Log On


   

Question 1040429: I'm having some issues w/ this problem and could use your help please!
x + 4 / x + 1 >= 0
I'm coming up with x ≤ -4 or x > -1, is that correct? For interval notation I would use a solid circle at -4 to -1 w/ another solid circle at -1?
I really appreciate your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. x%3C=-4 or x+%3E+-1 both combine to give you the solution set. To write this in interval notation, you would write

(-\infty, -4] \cup (-1, \infty)

the parenthesis indicate we exclude the endpoint
the square bracket means to include the endpoint (we include -4)
the big U means "union" to glue together the two intervals

To draw out the graph of the solution set on the number line you will have a solid circle at -4 and an open circle at -1. Shade to the left of -4 and shade to the right of -1. Do not shade between -4 and -1.