Question

A system of linear inequalities is shown below.

x + y ≥ 4
y < 2x - 3

Describe the steps to graph the solution set to the system of inequalities.

Answer 1

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Answer 2

1. Solve the first equation for y
2. Mark the y intercept on the graph
3. From the y intercept go down one and right one as indicated by the slope.
4. Draw a solid line through those points.
5. Shade with horizontal lines above the line you just drew.

Answer 3

how do I solve for y

Answer 4

Subtract x from both sides

Answer 5

For the second equation:
1. Mark the y intercept on the graph
2. From the y intercept go up 2 and right 1 as indicated by the slope
3. Draw a dotted line through the points
4. Shade with vertical lines below the line you just drew.
5. The checkerboard area is the solution set of the system of inequalities.

Answer 6

is that for the first one

Answer 7

I cannot open your drawing.

Answer 8

The draw function is not working.

Answer 9

y=-x > 4 is that for the first one but the underlined greater then its just not on my keyboard

Answer 10

y>-x+4 is the first one.

Answer 11

and how do you solve from there

Answer 12

Refer to the steps I posted above.

Answer 13

well I know I need to solve y so how do I get my y coordinate

Answer 14

Do you mean the y intercept?

Answer 15

yes didn't you say I need to solve for that

Answer 16

Once you have solved the equation for y it looks like this:
y=mx+b

Answer 17

When it is in that form, the y intercept is b

Answer 18

so the y intercept is 4

Answer 19

So in your case, y >-x+4
the y intercept is 4 since 4 is in the place of b

Answer 20

do you have to solve for x