Question

Graph the system of inequalities on your paper. Please provide only one ordered pair (x, y) that will work for both system of inequalities.

To earn full credit you must prove your answer by substituting the (x, y) order pair into both inequalities. Show all work for each inequality.

y <3x+1
y>-2x-4

Answer 1

In graphing either of the inequalities, it is helpful to temporarily set the inequality to an equality and graph that using a dotted line, then select a point from one side to know where to shade. Can you do that?

Answer 2

can u help me do this problem please i want help

Answer 3

@goformit100

Answer 4

Well, I'll help you do the work, but I won't do the work for you. Start with the first equation. y <3x+1 Can you find the y-intercept? Use the format y = mx + b. B is the y-intercept. What is "b" if you use this format?

Answer 5

1

Answer 6

Good. You also have the slope, which is as you might know, the number of units you go vertically over the number of units you go horizontally. Hint: horizontal is "1". So, what is the slope? Another hint: it's m.

Answer 7

3

Answer 8

so now what do i do to answer this question

Answer 9

Very good. So, slope is 3 or 3 over 1 (3/1). So, from the point (0,1), which is the y-intercept, so x is 0, you go up 3 and over to the right 1 to get your second point. What point would that be?

Answer 10

1,3

Answer 11

To get the second point, you add 3 to the initial y in (0,1) and you add 1 to the x, so try again for the second point.

Answer 12

Graph the system of inequalities on your paper. Please provide only one ordered pair (x, y) that will work for both system of inequalities. so to answer part of the question to provide only one ordered pair that will work for both sides i can use (,01)?

Answer 13

1,4

Answer 14

The point (0,1) is not a part of the first inequality because it is just that, an inequality. We are temporarily getting a point and then a second point from the corresponding equality just to draw the dotted line. Good, you have your second point. Now you can draw a dotted line with thosee 2 points.

Answer 15

okay. but i have to find a Please provide only one ordered pair (x, y) that will work for both system of inequalities.

Answer 16

Once you draw your dotted line, you have to see where to shade, so pick a convenient point off the line to see if it would be in the shadded area. I'd choose the point (0,0). Does that point satisfy the inequality, yes or no?

Answer 17

yes

Answer 18

Good, then you can shade that side of the dotted line where (0,0) is.

Answer 19

ok now what

Answer 20

We have to go through these steps because the problem calls for graphing. Now we can go to the second inequality and do the same steps, first by getting the y-intercept for the associated equality. Just as in the other inequality, the point is not part of the graph, but is determined for drawing the second dotted line.

Answer 21

So, the y-intercept for the second inequality is?

Answer 22

-4

Answer 23

Good. The point for the y-intercept takes the form (0, y-intercept), so you can put a "dot" for that on your graph.

Answer 24

ok

Answer 25

With the slope of the second inequality, from this new point, go up or down (depending on positive or negative) for the slope of the second inequality and right or left for the denominator of the slope. Hint: the denominator of this second inequality is 1.

Answer 26

So, are you going down or up and then are you going right or left?