−9x+2>18 OR 13x+15≤−4

Answer:[tex]-1.78>x\leq -1.46[/tex]Step-by-step explanation:1. Understanding the type of statementWe are given an OR statement. A certain x-value is a set of solution of the statement if it satisfies both of the inequalities.Therefore, the solution of this statement is the Union of set of the solutions of both inequalities. 2. Finding the solutions to the two inequalities[tex]-9x+2>18\\-9x>18-2\\-9x>16\\x<-\frac{16}{9}\\ \\x<-1.78[/tex]Now Solving for other equation we get,[tex]13x+15\leq-4\\13x\leq -4-15\\13x\leq -19\\x\leq -\frac{19}{13}\\ \\x\leq -1.46[/tex]3. The solution is:[tex]-1.78>x\leq -1.46[/tex]