#### Answer

$$|x-3|\leq2$$

#### Work Step by Step

Plug in (1,5) for (a,b) in the equations for c
$$c = (1)+(5)\div2 = 3$$
Plug in answer for c into equation for r
$$r =(5)-(3) = 2$$
Plug in answers for c and r into inequality equation
$$|x(-3)|\leq(2)$$
Simplify
$$|x-3|\leq2$$