Answer: [tex]x>-3[/tex]
Step-by-step explanation:
[tex]5-4x<17[/tex]
[tex]5-4x-5<17-5[/tex]
[tex]-4x<12[/tex]
Multiply both sides by -1 and reverse the inequality:
[tex]\left(-4x\right)\left(-1\right)>12\left(-1\right)[/tex]
[tex]4x>-12[/tex]
[tex]x>-3[/tex]
