Question

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.

x > –2
y ≤ 2x + 7

HELP ME PLEASE WILL MEDAL AND FAN

Answer 1

It helps to pretend these are equations (not inequalities) at first.

Graph x = -2 (a vertical line at the point x = -2). However, because it's > and not "> or =", it should be a dotted line, not a solid line. Now...where are things "Greater than" x = -2? That's where you need to shade... x > -2 is everything to the right of your line, so shade that area.

Now, graph y = 2x + 7. (Note, because this is "< or =" it will be a solid line.) There are a few ways to graph this line - all of which should be familiar to you by now. The easiest way is to put a dot on the y-intercept (0, 7), then find the next point by using the slope of 2. So, another point would be (1, 9).

To find the area that is "< or =" to the line y = 2x + 7, you need to pick a point that is NOT on that line and see if that point is true or false.

I'll pick (1, 1).
y <= 2x + 7
1 <= 2(1) + 7
1 <= 9
That is true, so shade the graph on the side of the line that contains that point. (If it was FALSE, you would shade on the side of the line that does NOT contain that point.)

The area where the two shadings overlap is the solution to the system of inequalities. (It's more than one point.)

The point where the two lines intersect (-2, 3) is the solution to the system of equations (x = -2 and y=2x+7), not inequalities.

Answer 2

The answers to choose from are
(–3, –1)


(–1, 4)


(1, 11)

(–1, 6)
@MW3030

Answer 3

@imqwerty @pyxieyt

Answer 4

sorry i cant figure it out and i dont want to give you the wrong answer

Answer 5

@MW3030 that's okay! thank you for trying.

Answer 6

@pyxieyt @imqwerty HELP

Answer 7

It helps to pretend these are equations (not inequalities) at first, okay?

Answer 8

Graph x = -2 (a vertical line at the point x = -2). However, because it's > and not "> or =", it should be a dotted line, not a solid line.

Answer 9

okay.

Answer 10

Now...where are things "Greater than" x = -2? That's where you need to shade... x > -2 is everything to the right of your line, so shade that area.

Answer 11

Now, graph y = 2x + 7. (Note, because this is "< or =" it will be a solid line.) There are a few ways to graph this line - all of which should be familiar to you by now.

Answer 12

okay I see.

Answer 13

The easiest way is to put a dot on the y-intercept (0, 7), then find the next point by using the slope of 2. So, another point would be (1, 9).

Answer 14

okay.. Um the closest I get is 1,6

Answer 15

To find the area that is "< or =" to the line y = 2x + 7, you need to pick a point that is NOT on that line and see if that point is true or false.

Answer 16

wonder how you all are getting that. I already posted the answer choices they are nothing like that.

Answer 17

His steps are correct, that's why I'm typing it out. He just used that as an example

Answer 18

You could do what he did with the example to find out.

Answer 19

(I just found what he was looking at,it was yahoo :( )

Answer 20

okay.. I looked up the question on yahoo answers.com and it shows the exact same thing.. But the answers are totally different.

Answer 21

Yeah so I think he looked it up.

Answer 22

Let's plug in the answers that are above.

Answer 23

okay let me know what u get. Algebra is har.

Answer 24

I'll pick (–3, –1)
y <= 2x + 7
-1 <= 2(-3) + 7
1 <= 1
Do you think this is correct?

Answer 25

probably. I will put it as the answer and see what I get.

Answer 26

Wait!
we need to go through it all

Answer 27

ok

Answer 28

Remember, because you may think it is one answer but it may not be!

Answer 29

true so do the rest. :)

Answer 30

Can you try to put in the next one

I'll pick (–1, 4).
y <= 2x + 7
? <= 2(?) + 7
1 <= ?

Answer 31

Remember I still need you to try and cooperate. If you told try it, it would be like i'm just giving you the answers!

Answer 32

*dont not told xD

Answer 33

Yes I know. Do I plug in every number for x until I get the answer.

Answer 34

Yes put the x coordinates in the x variable and the Y coordinates in the Y variable to see if the equation is true.

Answer 35

I will check your work to see if it is correct.

Answer 36

okay one minute, I am looking to see if I can find it somewhere else

Answer 37

No you should figure it out yourself, if you don't how would you learn?

Answer 38

I figured it out right before I clicked a link! It's (-1,4)

Answer 39

Lets try B. together!

-1 > –2
I'll pick (–1, 4).
y <= 2x + 7
4<= 2(-1) + 7
4 <= 5
Yep!

Answer 40

So, B or my answer?

Answer 41

Yes B is your answer! Remember next time try not to look it up on yahoo! On OpenStudy we can help guide you through it and help you learn!

Answer 42

okay thank you @pyxieyt