Given,
[tex]1-(5k+4)>24-2(k+3)[/tex]Substracting 24 from both side.,
[tex]-5k-27>-2k-3[/tex]Adding 3 to both side,
[tex]-5k-24>-2k[/tex]Multiplying by (-1),
[tex]5k+24<2k[/tex]Substrating 2k from both side,
[tex]3k+24<0[/tex]Substracting 24 from both side,
[tex]3k<-24\Rightarrow k<-8[/tex]Thus the answer is k<-8.
