SOLUTION: solve the inequality 2x+6>x-4 solve the inequality 3x+2< (or equal to)-16 solve the inequality 6-3x< (or equal to) 18 solve the inequality -8<2(x-3)< (or equal to) 8 Ca

Algebra ->  Inequalities -> SOLUTION: solve the inequality 2x+6>x-4 solve the inequality 3x+2< (or equal to)-16 solve the inequality 6-3x< (or equal to) 18 solve the inequality -8<2(x-3)< (or equal to) 8 Ca      Log On


   

Question 143635: solve the inequality 2x+6>x-4
solve the inequality 3x+2< (or equal to)-16
solve the inequality 6-3x< (or equal to) 18
solve the inequality -8<2(x-3)< (or equal to) 8
Can someone PLEASE exmplain these problems to me.
It has been 20+ years since I have taken math and all this looks Greek to me.
Any help you can give would be appreciated!!!
Thank you!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started


# 1



2x%2B6%3Ex-4 Start with the given inequality



2x%3Ex-4-6Subtract 6 from both sides


2x-x%3E-4-6 Subtract x from both sides


x%3E-4-6 Combine like terms on the left side


x%3E-10 Combine like terms on the right side

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Answer:
So our answer is x%3E-10








# 2




3x%2B2%3C=-16 Start with the given inequality



3x%3C=-16-2Subtract 2 from both sides


3x%3C=-18 Combine like terms on the right side


x%3C=%28-18%29%2F%283%29 Divide both sides by 3 to isolate x



x%3C=-6 Divide

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Answer:
So our answer is x%3C=-6