Question

Help plz ,I’m having some difficulties

Answer 1

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

Answer 2

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