Question

The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?​

Answer 1

Answer:

$\large\boxed{c=-7.4}$

Step-by-step explanation:

$x+c>-2.55\qquad\text{subtract c from both sides}\\\\x>-2.55-c\\\\\text{We have the solution}\ x>4.85.\ \text{Therefore}\\\\-2.55-c=4.85\qquad\text{add 2.55 to both sides}\\\\-2.55+2.55-c=4.85+2.55\\\\-c=7.4\qquad\text{change the signs}\\\\c=-7.4$