SOLUTION: How do I solve this inequality? {{{7/(x+1) > 7}}}

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Question 913462: How do I solve this inequality?


Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Make all numbers onto one side of the order relation.








The critical values are x at 0 and -1. These form three intervals for the real x number line.

(-infinity, -1)
Pick any value, example, -3.



FALSE.

(-1, 0)
Pick some value, -1/2.



TRUE.

(0, infinity)
Pick a value greater than 0, like 1.


FALSE.

One more thing: The original inequality seems to have no restriction for x at 0; so maybe x=0 might work. Check this.
?


FALSE!

RESULT, ANSWER:

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