Question

The graph below represents which system of inequalities?

y <= -2x + 3
y <= x + 3

y >= -2x + 3
y >= x + 3

y <= -3x + 2
y <= -x + 2

y > -2x + 3
y > x + 3

Answer 1

Hint:

the lines in the graphs have slope of different signs (one slope is positive, the other is negative)

the shading of the final region is in the southern most region, so it is the result of shading below the line (for each inequality)

Answer 2

let me know if that helps or not

Answer 3

I know how to do it, but when i did the graphs, none matched the one they gave me. Can you just show me the answer?

Answer 4

well using my hints above, this rules out choice C

this is because choice C has two negative slopes

Answer 5

choice D is out because those inequalities in choice D would have shadings above the lines

Answer 6

same with B, so B is out

Answer 7

so its not C, could it be A?

Answer 8

leaving choice A as the answer

Answer 9

oh. haha thanks!

Answer 10

it's A, since that is the only choice with shadings below the lines and slopes of different signs

Answer 11

np

Answer 12

Which of the following points lie in the solution set to the following system of inequalities?

y <= x - 5
y <= -x - 4

A) (1, 10)

B) (-1, 10)

C) (10, 1)

D) (1, -10)

Answer 13

for each choice, plug in the point into each inequality

Answer 14

if you get 2 true results, then that point is in the solution set

Answer 15

its not B, right?

Answer 16

correct, B is out

Answer 17

And so is A, right?

Answer 18

I cant tell if A is out, or the answer.

Answer 19

A is out

Answer 20

y <= x - 5

10 <= 1 - 5

10 <= -4

which is FALSE

Answer 21

so that's why A is out

Answer 22

okay and so D is out to, right?

Answer 23

no D is actually the answer, not sure how you eliminated D

Answer 24

me either. But yay!

Answer 25

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

A) (1, -5)

B) (1, 5)

C) (5, 1)

D) (-1, 5)

Answer 26

hmm probably going too fast, idk lol

Answer 27

this is the same type of problem

Answer 28

check each answer choice by plugging in the point and make sure it makes both inequalities true

Answer 29

C is out though, right? i just want you to go over them with me so i don't get them wrong.

Answer 30

Jim?

Answer 31

ok sry, one sec

Answer 32

currently graphing it atm

Answer 33

oh okays. I think its D but im probably wrong.

Answer 34

or A..

Answer 35

C is definitely out

Answer 36

thats what i thought lol

Answer 37

D is not in the solution set either, so that's out too

Answer 38

so A?

Answer 39

A is correct since that's in the solution set

Answer 40

Yay! thank you!

Answer 41

yw