SOLUTION: Solve the inequality -2 < 1 - x < 3

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Question 206989: Solve the inequality
-2 < 1 - x < 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-2+%3C+1+-+x+%3C+3 Start with the given inequality


-2-1+%3C+-+x+%3C+3-1 Subtract 1 from ALL sides.


-3+%3C+-+x+%3C+2 Combine like terms.


3+%3E+x+%3E+-2 Multiply ALL sides by -1 to isolate 'x'. Don't forget to flip the signs.


-2%3Cx%3C3 Rearrange the inequality.


So the solution is -2%3Cx%3C3



So the answer in interval notation is ()


Also, the answer in set-builder notation is