Question

Can anyone help me with Algebra??(:

Answer 1

Go for it :P

Answer 2

s kindly ask

Answer 3

yeah is there a question?

Answer 4

[6.06] Which point lies in the solution set for the following system of inequalities?
y < x + 4
y < -2x + 2

(2, 3)

(0, -5)

(0, 5)

(1, 0)

Answer 5

You would have to plug in these coordinate and see if BOTH inequalities are true once you do so. So just to show you an example using the first coordinate point.
y< x + 4 becomes 3 <2 + 4
y < -2x + 2 becomes 3 < -2(2) + 2
In this case, you can see the first inequality is true but the second one is false, so that's not the answer. You would repeat this process until you find the coordinate that is true for both : )

Answer 6

I'm confused :(

Answer 7

So you have 4 points that are options that could work.
(2,3) where x = 2 and y = 3
(0, -5) where x = 0 and y = -5
(0,5) where x = 0 and y = 5
(1,0) where x = 1 and y = 0
We understand that part?

Answer 8

Yeah

Answer 9

Alright, cool. So when you have an inequality like y < x + 4, this says that if you plug in the y-value and the x-value in place of x and y, that this inequality should be true. Make sense for that?

Answer 10

yes

Answer 11

Okay, good. So this means that whichever point of your 4 possibilities is correct has to make both inequalities true. So you have to pick one of the 4 points and replace x and y in both inequalities. If only one of them is true, then it is not the answer. Both must be true. We okay with that?

Answer 12

yupp(:

Answer 13

Cool ^_^ So now this is what you have to try to do. I'll pick your first answer and check it, the point (2,3). So for both inequalities, Ill replace x with 2 and replace y with 3. Now we do this and see if both inequalities are true
\[3 < 2 + 4\]
\[3 < -2(2) + 2\]
If you do the math on those, are they BOTH true?

Answer 14

I THINK SO..

Answer 15

Well, the second one becomes 3 < 6, which is true, but the second one becomes 3 < -4 + 2 = 3 < -2, whcih is not true. So that point isn't our answer. Can you see why?

Answer 16

Kinda..so whats the answer?

Answer 17

Well, as long as you can understand how the second one came to be false, then that's good. You want me to go to the next point or do you think you can check on your own?

Answer 18

Can anyone tell me the answer?? @walkeraltyreet @robtobey @radar @Ryaan @Ryleighblue

Answer 19

Well we're not out to just give answers :/

Answer 20

Yup I'm with @Psymon

Answer 21

And I think @Psymon has explained you..
So you should know your answer now.