Question

please help!

Answer 1

The graph below represents which system of inequalities?

Answer 2

A) y < −2x + 6
y < x + 2

B) y ≤ −2x + 6
y ≤ x + 2

C) y < 2 over 3x − 2
y > 2x + 2

D) None of the above

Answer 3

@Michele_Laino can you help please

Answer 4

hint:
we have two lines
the equation of this line:

is \(y=x+2\)

Answer 5

the equation of the second line, is:
\(y=-2x+6\)

Answer 6

now, the green region is the region of all points which are located below both the lines \(y=x+2\) and \(y=-2x+6\), namely whose \(y-\)coordinates are less than
\(x+2\) and \(-2x+6\)
so, what can you conclude?

Answer 7

im not sure what you are asking

Answer 8

@Michele_Laino

Answer 9

I ask, using my notes above, what is the right option?

Answer 10

none of the above?

Answer 11

hint:
here are the points below the line \(y=x+2\)

Answer 12

here are the points below the line \(y=-2x+6\)

Answer 13

so, here are the points below to \(both\) lines \(y=x+2\) and \(y=-2x+6\)

Answer 14

which is the green region of the drawing you provided

Answer 15

so, what is the right option?

Answer 16

the third one

Answer 17

hint:
the points below the line \(y=x+2\) check this condition:
\(y< x+2\)
similarly, the points below the line \(y=-2x+6\), check this condition:
\(y<-2x+6\)

Answer 18

the points below to \(both\) lines check \(both\) of such conditions above

Answer 19

so, the right option, is?

Answer 20

it would be B

Answer 21

option B is wrong since it includes the points of the same lines

Answer 22

i dont uderstand this

Answer 23

the points which belong to the lines are excluded by the green region

Answer 24

please note that I wrote:
\[y < ...\]
and \(not\)
\[y \leqslant ...\]

Answer 25

oh okay thank you so much!

Answer 26

:)