SOLUTION: solve the inequality. then graph the solution 4x+3<-9 or 6x-7>-1

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Question 191375: solve the inequality. then graph the solution
4x+3<-9 or 6x-7>-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's solve the first inequality 4x%2B3%3C-9:


4x%2B3%3C-9 Start with the first inequality.


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


4x%3C-12 Combine like terms on the right side.


x%3C%28-12%29%2F%284%29 Divide both sides by 4 to isolate x.


x%3C-3 Reduce.


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Now let's solve the second inequality 6x-7%3E-1:


6x-7%3E-1 Start with the second inequality.


6x%3E-1%2B7 Add 7 to both sides.


6x%3E6 Combine like terms on the right side.


x%3E%286%29%2F%286%29 Divide both sides by 6 to isolate x.


x%3E1 Reduce.


So our answer is x%3C-3 or x%3E1


So the solution in interval notation is: () ()


Also, the solution in set builder notation is:




Here's the graph of the solution set




Note:
There is an open circle at x=-3 which means that we're excluding that value from the solution set.


Also, there is an open circle at x=1 which means that we're excluding that value from the solution set.