## Erin08 3 years ago Find the solutions of the inequality. | x - 5 | ≥ 3

1. myininaya

$|f(x)| \ge 3 => f(x) \ge 3 \text{ or } f(x) \le -3$ 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 ******] [**********

2. myininaya

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

3. erica123

first you set up both equation x-5≥ 3 x-5≥ -3

4. erica123

then you bring over the 5 to the 3 and -3 so +5 and +5

5. aussy123

6. myininaya

@erica123 that last inequality you have should be the other way around

7. erica123

yeah sorry i forgot