Question 116278


{{{x+1<2x+1}}} Start with the given inequality




{{{x<2x+1-1}}}Subtract 1 from both sides



{{{x-2x<1-1}}} Subtract 2x from both sides



{{{-x<1-1}}} Combine like terms on the left side



{{{-x<0}}} Combine like terms on the right side



{{{x>(0)/(-1)}}} Divide both sides by -1 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>0}}} Divide


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Answer:

So our answer is {{{x>0}}}