SOLUTION: How do you solve this x+8 > line under > then-7 x+8 >7

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Question 253680: How do you solve this x+8 > line under > then-7 x+8 >7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B8%3E=-7x%2B8%3E7 Start with the given compound inequality.


Break up the compound inequality to get:


x%2B8%3E=-7x%2B8 AND -7x%2B8%3E7


So let's solve the first inequality x%2B8%3E=-7x%2B8


x%2B8%3E=-7x%2B8 Start with the given inequality.


x%3E=-7x%2B8-8 Subtract 8 from both sides.


x%2B7x%3E=8-8 Add 7x to both sides.


8x%3E=8-8 Combine like terms on the left side.


8x%3E=0 Combine like terms on the right side.


x%3E=%280%29%2F%288%29 Divide both sides by 8 to isolate x.


x%3E=0 Reduce.


Now let's solve the second inequality -7x%2B8%3E7


-7x%2B8%3E7 Start with the given inequality.


-7x%3E7-8 Subtract 8 from both sides.


-7x%3E-1 Combine like terms on the right side.


x%3C%28-1%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C1%2F7 Reduce.

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Answer:

So the solution is x%3E=0 and x%3C1%2F7.


Our answer also looks like 0%3C=x%3C1%2F7.