The following are the properties of inequalities that are helpful in solving linear inequalities For a b, c is any element of real numbers. 1. Addition property a. lfa <b, then a + c < b + c b. ifa > b. then a t'c> b + c 2. Subtraction property a. Ha < b than a - <d b. ifa > b, then a - C> b-C 3 Multiplication property a. ifa <b, and c la positive, then ac < bc bifa < b. and cis negative, then ac > hc 4. Division property a la sb, and is postive, then b. ifa < and cle negative, then c