SOLUTION: How do you solve and graph an inequalitie like x - 2 > 2x + 1 or -10 > -2x

SOLUTION: How do you solve and graph an inequalitie like x - 2 > 2x + 1 or -10 > -2x - 2?

Question 151741: How do you solve and graph an inequalitie like x - 2 > 2x + 1 or -10 > -2x - 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.

Add to 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.

Add to both sides.

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: (

)

(

)

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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