Respuesta :
Step-by-step explanation:
| x - 2 | < 4
Start at x=2. Go 4 units in either direction: x=-2 and x=6. Draw empty circles around each. Since it's less than, the line goes between the circles, connecting them. The result should look like this:
desmos.com/calculator/k2bujixjtx
| x + 2 | > 4
Start at x=-2. Go 4 units in either direction: x=-6 and x=2. Draw empty circles around each. Since it's greater than, the line goes outside of the circles. The result should look like this:
desmos.com/calculator/sk1cxob0tg
Answer:
Step-by-step explanation:
3.
|x-2|<4
-4<x+2<4
subtract 2 from each inequality
-4-2<x+2-2<4-2
-6<x<2
4.
|x+2|>4
x+2<-4 and x+2>4
or x+2-2<-4-2 and x+2-2>4-2
or x<-6 and x>2