Question 545548


{{{8(t+2)-3(t-4)<5(t-7)+8}}} Start with the given inequality.



{{{8t+16-3t+12<5t-35+8}}} Distribute.



{{{28+5t<5t-35+8}}} Combine like terms on the left side.



{{{28+5t<-27+5t}}} Combine like terms on the right side.



{{{5t<-27+5t-28}}} Subtract {{{28}}} from both sides.



{{{5t-5t<-27-28}}} Subtract {{{5t}}} from both sides.



{{{0t<-27-28}}} Combine like terms on the left side.



{{{0t<-55}}} Combine like terms on the right side.



{{{0<-55}}} Simplify



Since the inequality is false, there are no solutions.