Question

Solve each inequality

Please show work
the absolute value of b is greater than or equal to 10

Answer 1

So we have the inequality
`|b| \geq 10`. 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
`|x|\ \textgreater \ a` its solution will have two parts:
`x\ \textless \ -a` and
`a\ \textgreater \ a`. Lets apply this to our problem:

`|b| \geq 10`

`b \leq -10` or
`b \geq 10`

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