How would you graph | x | < 3?

Question

The absolute value of X is less than (or equal to) three

Answer 1

The graph would be a line along the x axis, between -3 and 3, excluding 3 and -3.

Answer 2

Draw thhe line x+3. This is a vertical line passing through the point (3,0) and parallel to the y-axis. The line extends forever in the both the +y and -y direction. Every point on this line x=3. So every point to the left of the line x is < 3.

Now do the same thing at the point (-3,0). You will now have a second line which passes through (-3,0) parallel to the y-axis and extending forever in both the +y and -y direction. Every point on this line is = x = -3 , But the absolute value is +3 Therefore, every point to the right of this line is less than 3.

Thus the graph of |x| =3 has a domain of -3

Answer 3

Draw vertical lines at x = 3 and x = -3. Shade the area in between.

Answer 4

All the x points that make this true is the open interval
(-3,+3) or -3

Answer 5

circle 3 and -3 and draw a line connecting the circles

Answer 6

first make a point on 3 of the x axis
then make a straight vertical line (long ways)
shade or th answer will be to the LEFT of line you make (because it is LESS THAN)

Answer 7

your graph should look like a "v" . where the vertex is 3 and it openning down. (but i dont think it can go negitive or else it wouldn't be absolute. (thats all i remeber)

Answer 8

I don't think you can...'y' is not defined here. Unless your equation is actually " | x | < 3 = y ".