Question

Which system is graphed?

A. y≤ x + 1
y < –2x – 4

B. y ≤ x + 1
y > –2x – 4

C. y < x + 1
y ≥ –2x – 4

D.y < x + 1
y ≤ –2x – 4

Answer 1

My answer is D

Answer 2

It could be right or wrong, without seeing the graph itself! :)

Answer 3

oh wow I forget to attach, just a sec

Answer 4

the broken lines means that its not equal to the equation so C and D out (not correct) ..

Answer 5

@freemap Do you know how to determine the right inequalities?

Answer 6

May I have example, I'm pretty sure I do Though

Answer 7

There are certain systematic ways to look at them.
Would you me to show you?

Answer 8

@LynFran has shown one of the ways to eliminate choices.
There are ways to actually find the answers.

Answer 9

I thought since one line is dashed it would be < or> Since solid line it world be>/ because its greater than or equal to

Answer 10

First, we look at the inequalities themselves.
They are all identical, namely
y=x+1 .....(1) has slope 1 and y-intercept 1. So that corresponds to the graphs.
y=-2x-4 .....(2) has slope -2 and y-intercept -4, so that also corresponds to the graphs.
That means the only criteria lie with the inequality signs.
In this case, we have both dotted (strict inequality, > or <) and solid ((\le\) or (\ge\) ) lines, so that should be a first step.

Answer 11

* \(\le\) or \(\ge\)

Answer 12

The next step is to match the strict inequality, namely equation (2) is a strict inequality.
where y>.....
You will find that you choose the greater because you can look at the following drawing.

Answer 13

I see

Answer 14

For inequality 1, we look at the drawing:

Answer 15

So can you find the set of equation that satisfies both requirements?

Answer 16

woo such perfect explaining ...great job @mathmate

Answer 17

@LynFran Thank you! :)

Answer 18

I have no clue I'm still thinking D

Answer 19

>and<

Answer 20

B would be correct

Answer 21

b and d backwards ok, Thanks

Answer 22

Thanks everyone, I hate graphs