Question 1150847


{{{2y^2 < y+1}}}

{{{2y^2 -y-1< 0}}}

{{{2y^2 -2y+y-1< 0}}}

{{{(2y^2 -2y)+(y-1)< 0}}}

{{{2y(y -1)+(y-1)< 0}}}

{{{(2y+1)(y-1)< 0}}}

solutions:

if {{{(2y+1)< 0}}}=>{{{2y<-1}}}=>{{{y<-1/2}}}

if {{{(y-1)< 0}}}=>{{{y<1}}}


number line:

https://imgur.com/5E37wrX



interval:

({{{-infinity}}},{{{ -1/2}}})