SOLUTION: Solve and graph the inequality x - 2 > 2x + 1 or 10

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Question 117961: Solve and graph the inequality
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 2 to both sides

Subtract 2x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by -1 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)

Divide

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Answer:
So our first answer is

Now let's solve the second inequality

Start with the second inequality

Subtract 10 from both sides

Add 2x to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

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Answer:
So our answer is

So our solution is or

SOLUTION: Solve and graph the inequality x - 2 > 2x + 1 or 10 > -2x + 2