Answer:
[tex]\large\boxed{c=-7.4}[/tex]
Step-by-step explanation:
[tex]x+c>-2.55\qquad\text{subtract c from both sides}\\\\x>-2.55-c\\\\\text{We have the solution}\ x>4.85.\ \text{Therefore}\\\\-2.55-c=4.85\qquad\text{add 2.55 to both sides}\\\\-2.55+2.55-c=4.85+2.55\\\\-c=7.4\qquad\text{change the signs}\\\\c=-7.4[/tex]