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

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

Let's solve the first inequality :

Start with the first inequality.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Now let's solve the second inequality :

Start with the second inequality.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So our answer is or

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 which means that we're excluding that value from the solution set.

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

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