SOLUTION: -7x<14 and 3x+2<8

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Question 119855: -7x<14 and 3x+2<8

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the first inequality

Divide both sides by -7 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

Start with the second inequality

Subtract 2 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Divide

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Answer:
So our second answer is

So we have the answers:

and

which combine to the compound inequality