$-4x + 60 < 72$ or $14x + 11 < -31$

Explanation:

Step1: Solve the first - inequality

Subtract 60 from both sides of $-4x + 60<72$. $-4x+60 - 60<72 - 60$ $-4x<12$ Divide both sides by - 4 and reverse the inequality sign. $x>- 3$

Step2: Solve the second - inequality

Subtract 11 from both sides of $14x + 11<-31$. $14x+11 - 11<-31 - 11$ $14x<-42$ Divide both sides by 14. $x<-3$

Answer:

$x>-3$ or $x < - 3$ (all real numbers except $x=-3$)