Question 230065: I need to solve the inequality. Graph solution
-5<-5x
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! -5<-5x
There are a couple of ways to do this, but I think it is SAFER when solving inequalities to ALWAYS get the variables on the LEFT side--just my personal thought! So, start by adding +5x to each side:
-5+5x<-5x+5x
-5+5x<0
Next add +5 to each side:
-5+5+5x<5
5x<5
Now, divide both sides by 5:
Now, draw a numberline and locate the number 1 to the right of 0 on this numberline. In your answer, x represents any number that is LESS than 1--that is, any number on the numberline that is to the LEFT of 1, like 0, -1, -2, etc.
Now to graph this start at 1, and shade everything to the LEFT of 1. Put an arrow on the left end of this shading indicating that you want to go ALL THE WAY to the LEFT. At the number 1, you do NOT want to include this point, so you can either make an OPEN CIRCLE at the point 1, or you can use a PARENTHESE that opens to the left. Ask you teacher or check your book to see which notation they prefer.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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