Question

1. higher order thinking the inequality ( x + c > -2.55 ) has the solution ( x > 4.85 ). what is the value of ( c )? how do you know?

Explanation:

Step1: Isolate $x$ in the inequality

$x + c > -2.55 \implies x > -2.55 - c$

Step2: Equate to given solution

Set $-2.55 - c = 4.85$

Step3: Solve for $c$

$c = -2.55 - 4.85 = -7.4$

Answer:

The value of $c$ is $-7.4$. We know this by isolating $x$ in the original inequality and matching it to the given solution, then solving for the unknown constant.