Question

check attachment below thanks!

Answer 1

First. we need this equation in y = mx+b form

Next, pick a test point.. say (0,0) letting x = 0 and y = 0 and plug it into the inequality . If the inequality holds, then it's true and (0,0) is shaded. If the inequality doesn't hold, then it's false and (0,0) won't be shaded

Third, let x = 1,2,3, and solve for y to gain more points to plot

Finally, compare the graph to the picture

Answer 2

ok. let's have x = 0 and y = 0
plug those values into the choices you are given
which of these inequalities are true?

Answer 3

@UsukiDoll I'm sorry i just went full retard. I'm reading everything youre telling me, but nothing is making sense I'm so sorry

Answer 4

I'll do an example
picking a test point of (0,0)
and the inequality
x-3y>5
we have
0-3(0) > 5
0-0>5
0>5 and that doesn't make sense at all. so throw that inequality out

Answer 5

there's one more inequality that needs to go. which one is it?

Answer 6

x - 3y < 5

Answer 7

no that inequality holds true 0 is less than 5

Answer 8

yes

Answer 9

dude .
x-3y < 5 is a true inequality when the test point is (0,0) so that stays.
It's just that there are two of them out there and we need to know which inequality is the same as the picture

Answer 10

so we either have
x-3y <5 or x-2y <5
we know that the test point (0,0) is true so that test point is shaded.

Answer 11

wait wouldn't the answer be what i just mentioned? x - 3y < 5

Answer 12

prove that it's correct.... I'm not even done explaining things and this is out of the blue.

Answer 13

oh. no i didn't do anything. i just have strong feelings for that choice. somethings just telling me thats it.

Answer 14

so when you have this on a test, what are you going to do? You can't just guess.

Answer 15

@UsukiDoll thats true. I'm sorry for interrupting you. can you help me figure it out??

Answer 16

anyway changing it to y = mx+b form
x-3y =5
\[-3y=5-x\]
\[y = \frac{5}{-3}+\frac{-x}{-3} \]
\[y = \frac{x}{3} +(\frac{-5}{3})\]

Answer 17

and for x-2y < 5
just change signs to = and then we need y =mx+b form again

x-2y=5
-2y=5-x
\[y=\frac{-5}{2}+\frac{x}{2}\]

Answer 18

so which colored line is above the -2 in the y-axis?

Answer 19

it was x-3y<5
lucky guess

Answer 20

are you serious?! wow thanks. i had a feeling lol

Answer 21

yeah but I've outlined the process for manual solving (except for graphing because there is no way that I was doing that by hand)