SOLUTION: How do you graph these inequalities 2x > -6 and x

SOLUTION: How do you graph these inequalities 2x > -6 and x - 4 < 3?

Question 151733: How do you graph these inequalities 2x > -6 and x - 4 < 3?

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.

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.

So our answer is and

This combines to the compound inequality

So the answer in interval notation is (

)

So the answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

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

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