Chapter 1 - Expressions, Equations, and Inequalities - 1-6 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 46: 34

all real numbers Refer to the graph below.

In the given inequality, $ |2x+1|\ge-9 ,$ the left side always results to a nonnegative number for any value of $x.$ This is always greater than or equal to the value at the right. Hence, the solution is the set of all real numbers. The graph will be the entire number line.