Question 168928


Let's solve the first inequality {{{3x+1<-2}}}:



{{{3x+1<-2}}} Start with the first inequality.



{{{3x<-2-1}}} Subtract {{{1}}} from both sides.



{{{3x<-3}}} Combine like terms on the right side.



{{{x<(-3)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}. 



{{{x<-1}}} Reduce.



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Now let's solve the second inequality {{{2x+3>5}}}:



{{{2x+3>5}}} Start with the second inequality.



{{{2x>5-3}}} Subtract {{{3}}} from both sides.



{{{2x>2}}} Combine like terms on the right side.



{{{x>(2)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



{{{x>1}}} Reduce.



So our answer is {{{x<-1}}} <font size="4"><b>or</b></font>  {{{x>1}}}