Question

Hello Everybody!!

I really need help on this Algebra question. I have been working on my Math all day, and now I can't think clear anymore. I just need help on this one question, and I will MEDAL and FAN anybody that helps me answer this.

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.

Thank you very much!

Answer 1

@phi @pooja195 Please help!

Answer 2

If you take the first equation, and subtract x from each side,
then here is our system,\[\large\rm y\ge-x+4\]\[\large\rm y<2x-3\]
Start out this process by graphing these two lines,\[\large\rm y=-x+4\]\[\large\rm y=2x-3\]Do you understand how to do that?

Answer 3

The first thing I tell my students about these is to first temporarily replace the inequality signs with = signs, simply for the purposes of solving for y and graphing the lines. We will put them back in later. For the first one, we will rename that x + y = 4. Solving this for 4 gives y = 4 - x. Are you familiar with the slope-intercept form of graphing? The y-intercept is 4 and the slope is negative 1.

Answer 4

Yes. I will show you in a second.

Answer 5

Here it is. Is it correct?

Answer 6

@zepdrix are you still there?

Answer 7

Ummm first of all... you used a calculator...
I don't see how that is "your attempt".

And besides that.. the numbers don't match...
I'm so confused... why do you have .037x when our equation says 2x??
?? 0_o

Answer 8

I didn't use a calculator, I used desmos. And I don't know I'll check again. Sorry

Answer 9

Sorry! I had two files under the same name...

Answer 10

:P

Answer 11

Let's try again...

Answer 12

@zepdrix is it better?

Answer 13

Oh, I'm not willing to download a docx >.<
no desmos link or picture? :3

Answer 14

OKay. Coming

Answer 15

Okay! Here it is...

Answer 16

i wish you weren't using a graphing calculator to do this :P but whatever...
first equation has a starting point of 4