Question 551820


{{{-2(n+1)-3<1}}} Start with the given inequality.



{{{-2n-2-3<1}}} Distribute.



{{{-2n-5<1}}} Combine like terms on the left side.



{{{-2n<1+5}}} Add {{{5}}} to both sides.



{{{-2n<6}}} Combine like terms on the right side.



{{{n>(6)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{n}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{n>-3}}} Reduce.



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Answer:


So the solution is {{{n>-3}}}