SOLUTION: 4x+3<=9 on a number line

Algebra ->  Inequalities -> SOLUTION: 4x+3<=9 on a number line      Log On


   



Question 177272: 4x+3<=9 on a number line
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B3%3C=9 Start with the given inequality.


4x%3C=9-3 Subtract 3 from both sides.


4x%3C=6 Combine like terms on the right side.


x%3C=%286%29%2F%284%29 Divide both sides by 4 to isolate x.


x%3C=3%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x%3C=3%2F2


So the answer in interval notation is (]



Also, the answer in set-builder notation is


Here's the graph of the solution set



Note: the endpoint at x=3%2F2 is a closed circle