Here's the question you clicked on:
Erin08
Find the solutions of the inequality. | x - 5 | ≥ 3
\[|f(x)| \ge 3 => f(x) \ge 3 \text{ or } f(x) \le -3 \] Think about it : Say we call this line f(x) -----|-----------|-------- -3 3 We want the distance to be greater than 3 That means we want f(x) to be ******] [**********
Since f(x)=x-5 we have \[x-5 \ge 3 \text{ or } x-5 \le -3 \] You need to solve both of these inequalities for x
first you set up both equation x-5≥ 3 x-5≥ -3
then you bring over the 5 to the 3 and -3 so +5 and +5
|dw:1337209338346:dw| I believe this will help you understand
@erica123 that last inequality you have should be the other way around