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Question 175633: I am not understanding exactly how to do this problem. My answer comes up entirely different from the given answer in the book. I need to know the steps in solving this Inequality.
Compound Inequality. Give the solution set in both interval and graph form.
x+2 > 7 or 1-x > 6
I come up with this solution:
x+2 > 7 or 1-x > 6
-2 > -2 or -1 -1
x> 5 or x > 5
The book says the union is ( -infinity,-5) U (5,infinity)
I came up with two positives. I can not figure out what am I doing wrong in this Inequality, please help.
Your help is gracefully appreciated.
Thank you!
Lauren
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! x+2 > 7 or 1-x > 6
Isolate the "x":
x > 5 or -x > 5
Reverse the negative inequality:
x > 5 or x < 5
The OR means the solution is any number that is less than 5 or greater
than 5; than only excludes the number 5.
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So the solution is (-inf,5)OR(5,+inf.)
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Cheers,
Stan H.
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