Question

Determine the type of boundary line and shading for the graph of the inequality 2x + y > 4.

Answer 1

Any ideas?

Answer 2

no, confused

Answer 3

i mean, i dont understand it.

Answer 4

Solve for y to get

2x + y > 4

y > 4-2x

y > -2x+4

Answer 5

So we shade above the line since we have a greater than symbol

Answer 6

The line is also a dotted line because we're NOT including the boundary

Answer 7

If we were, we'd be using a \(\Large \ge\) sign

Answer 8

yeahh?

Answer 9

does that make sense?

Answer 10

sort of

Answer 11

So that's the type of boundary line on something like y < 2x+3

Dotted?

or

Solid?

Answer 12

dotted

Answer 13

good

Answer 14

because the < symbol tells us we're not including the boundary

Answer 15

and the dotted line means ignore the boundary

Answer 16

oh ok

Answer 17

Have you plotted your line yet?

Answer 18

If you haven't I would like to suggest two points to use.

Answer 19

Okay

Answer 20

One point would be P1(2,0) and the other one would be P2(0,4) These are intercepts and using a straight edge you can draw the line, and as jim_thompson has explained draw a dotted line rather than a solid one.