SOLUTION: Solve and graph on a number line: -2(a-3)+ 3(a+2)< 4

Question 365296: Solve and graph on a number line:
-2(a-3)+ 3(a+2)< 4
Answer by jokaehler(26) (Show Source): You can put this solution on YOUR website!
1) In order to solve this problem, you need to make sure that your problem is > 0, not > 4. How we do this is we subtract 4 from both sides.
Now we should have: 2(a-3)+3(a+2)-4>0

2) Make sure to use the distributive property. Let's start with 2(a-3). 2*a, and you will have 2a. 2*-3, and you will have -6.
Now we should have: 2a-6+3(a+2)-4>0

3)Repeat this same process (distributive property) with 3(a+2).
Now we should have: 2a-6+3a+6>0

4)Combine like terms
Now we should have:5a>0

5)Divide both sides by 5.
Now we should have a>0
Plot this on a number line. Open circle pointing to the positive side and continuing
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