SOLUTION: How do you graph x + 5 > 2x + 1 and -4x

SOLUTION: How do you graph x + 5 > 2x + 1 and -4x < -8?

Question 151735: How do you graph x + 5 > 2x + 1 and -4x < -8?

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.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

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Now let's solve the second inequality :

Start with the second inequality.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

So our answer is and

This answer 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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