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

Algebra.Com
Question 206989: Solve the inequality
-2 < 1 - x < 3

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality


Subtract 1 from ALL sides.


Combine like terms.


Multiply ALL sides by -1 to isolate 'x'. Don't forget to flip the signs.


Rearrange the inequality.


So the solution is



So the answer in interval notation is ()


Also, the answer in set-builder notation is

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