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

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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