SOLUTION: Solve the inequalities. 1-x=>8x+46 8<=2 - y Thanks for the help.

Algebra ->  Inequalities -> SOLUTION: Solve the inequalities. 1-x=>8x+46 8<=2 - y Thanks for the help.      Log On


   

Question 560812: Solve the inequalities.
1-x=>8x+46
8<=2 - y
Thanks for the help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1


1-x%3E=8x%2B46 Start with the given inequality.


-x%3E=8x%2B46-1 Subtract 1 from both sides.


-x-8x%3E=46-1 Subtract 8x from both sides.


-9x%3E=46-1 Combine like terms on the left side.


-9x%3E=45 Combine like terms on the right side.


x%3C=%2845%29%2F%28-9%29 Divide both sides by -9 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C=-5 Reduce.


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Answer:

So the solution is x%3C=-5

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# 2


8%3C=2-y Start with the given inequality.


0%3C=2-y-8 Subtract 8 from both sides.


y%3C=2-8 Add y to both sides.


y%3C=-6 Combine like terms on the right side.


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Answer:

So the solution is y%3C=-6
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