#### Answer

$$|x-3|\leq5$$

#### Work Step by Step

Plug in (-2,8) for (a,b) in the equations for c
$$c = (-2)+(8)\div2 = 3$$
Plug in answer for c into equation for r
$$r =(8)-(3) = 5$$
Plug in answers for c and r into inequality equation
$$|x(-3)|\leq(5)$$
Simplify
$$|x-3|\leq5$$