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anonymous
 one year ago
can you check my work?
anonymous
 one year ago
can you check my work?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To which graph does the point (2, 4) belong? y ≥ x + 3 y ≥ −x + 8 y ≥ 4x − 5 < my answer choice y ≥ −2x + 9

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@hartnn @surjithayer

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1how did you solve for it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my brother showed me the way and i was seeing if its correct then if someone could show me the steps because he didn't explain it clearly

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1so how did you pick that option ? I just want to know if you guessed or you did real math.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no my brother did the math and told me the answer but im not sure because when he was explaining it it didn't make sense...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0plug every point one by one and see which satisfy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im also looking for someone to show me how to do it

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1okay. There are different ways to do it, but it all starts with identifying the intercepts. Do you need a tutorial in identifying intercepts or do you already know it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0should i try doing it like surji said for now but give me one sec plz

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1you can do it, but it seems that you need to understand beyond plugging in values.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(2, 4) y ≥ x + 3 = 4 ≥ 2 +3 = 4 ≥ 5 which is false so its not A y ≥ −x + 8 = 4 ≥ 2 + 8 = 4 ≥ 6 which is false so not B y ≥ 4x − 5 = 4 ≥ 4(2)  5 = 4 ≥ 85 = 4 ≥ 3 which is correct so it is C y ≥ −2x + 9 = 4 ≥ 2(2) + 9 = 4 ≥ 4 + 9 = 4 ≥ 5 which is false so not D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so now that i have done it that way can you show me your way? nincompoop?

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1my way is learning linear equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you teach me if you don't mind>

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1since your inequality has greater than or EQUAL to, we can start with equality \(y = mx + b \)

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1The m is your slope. e b is your yintercept  point where the value of the coordinate is (0, y). It means that the value of x is just zero (x = 0) and the value of y is anywhere infinity and +infinity. So, pretty much the value of b is your actual y intercept dw:1433602860664:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so so do you plug in like (0,4) then (2,0)?

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433602878082:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433602934519:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0she wants to teach me the way of doing it without plugging them in, and i want to know how to do it that way too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yupp but i have more questions i guess you guys can help with later

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1No, we cannot just do it like that. Next, is to identify the xintercept. It is the point where it touches the xaxis, which also tells you that the value of y is zero (y=0). What this means analytically is to set your y to zero and solve for the rest of the equation. if you have \(y = x+3 \rightarrow 0 = x + 3 \) then solve for x, which in the example I showed you becomes: 03 = x + 3  3 3 = x and your b is 3 so your intercepts are (0,3) and (3, 0) dw:1433604051743:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433604121994:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433604186698:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1suppose this is an inequality so that instead of y = x+3 we have \(y \ge x + 3 \) our linear equation is still the same, but the values of the points now are from anywhere the line lies and also above (greater). dw:1433604445639:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1if instead the inequality is \(y \le x+3 \) then we shade the area of the region from where the line lies and the one below (less) it. dw:1433604556647:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so thats how y <= x + 3 looks in a graph?

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1correct! So, what we have covered so far are equality and inequality with greater than or equal to and less than or equal to. now, we need to do greater than or less than.

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1the good thing about this is that the still use the same LINE! meaning, that learning about linear equation in the slopeintercept form y = mx+b is quite helpful tool. now instead of including the line itself, we just need anywhere above (greater) or below (lesser). dw:1433604945236:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433605013888:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.1Now that you have an idea how the graph is like with linear equation and inequalities. We can determine if (2,4) is a point in the equation \(y\ge x+3 \) analytically. You can easily do this by "plugging in the values of x and y and see if it returns a TRUE value. Clearly, 4 is not greater than or equal to 5. And you do with the rest of the options. You can also do this graphically, but only if you have the patience to properly graph the equations and inequalities given. Never rely only on analytical solutions, because there will be problems where graphical understanding gives you a better intuition and idea how to attack a problem, and this is why I took the time to teach you the concept.
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