SOLUTION: How do you graph -3x < -6 or x + 5

SOLUTION: How do you graph -3x < -6 or x + 5 < -2?

Question 151739: How do you graph -3x < -6 or x + 5 < -2?

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 . 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.

Subtract from both sides.

Combine like terms on the right side.

So our answer is or

So the solution in interval notation is: (

)

(

)

So the solution in set 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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