Solve each inequality show work the absolute value of b is greater than or equal to 10

So we have the inequality . To solve it we are going to use the proper tie of inequalities that says that if we have a greater than absolute value inequality, its solution will always have two parts. In other words, given  its solution will have two parts:  and . Lets apply this to our problem:

or 

We can conclude that the solution set of our inequality is (-∞,-10]U[10,∞)