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# Hello! I have two questions:

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Hello! I have two questions:

1. Find a linear inequality with the following solution set. Each grid line represents one unit.

Graph:

https://latex.artofproblemsolving.com/a/2/9/a29ab229485ebb0bd55ba84d9b69637ee1b61804.png, or

2. Find a linear inequality with the following solution set. Each grid line represents one unit.

Graph:

Apr 17, 2021

#1
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First one.....we  have  the  points  (0.1)  and ( -1,0)  on  the  dashed line

The slope is   ( 0-1)  /( -1 - 0)  =  -1/-1  = 1

Imagining  the dashed line to be solid, the  equation of this line is

y  = 1x + 1

y= x + 1

Since  we have  a dahed line....tehe inequality  is either

y < x + 1                or      y >  x + 1

The point (-1,1)  is  in the yellow region

Putting this  into  both inequalities

1 < -1 + 1              1 >  - 1 + 1

1 < 0                      1  >  0

not true                     true

So...the correct inequality must be   y  > x + 1

Apr 17, 2021
#2
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Sorry.... I dont think you're right...

Batterydude6000  Apr 17, 2021
#4
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Here's the  graph of  y >  x + 1

https://www.desmos.com/calculator/b1v6lmicuv

CPhill  Apr 17, 2021
#3
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Second one

The points  ( 2,0)  and (0, -4)  are on the line

Slope  of line =  (-4 - 0) / ( 0 -2)  =  -4/-2   = 2

Equation of line  (using 0,-4)  is

y= 2x  -4

Since we have an solid line  the inequality is either

y ≤  2x - 4                  or  y  ≥  2x - 4

Note  that (3,1)  is in  the yellow region

If  we test  this point in both inequalities, note  that

1 ≤ 2(3)  - 4

1 ≤  6 - 4

1 ≤ 2  is true

So....the  correct  inequality is  y ≤  2x - 4

Apr 17, 2021
#5
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What in the world? I believe you, but the site says they are both wrong. Maybe bc of format?

Batterydude6000  Apr 17, 2021
#6
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OOOOOHHHH i know

(Give your answer in the form \$ax+by+c>0\$ or \$ax+by+c\geq0\$ where  a,b andc  are integers with no common factor other than 1.)

Batterydude6000  Apr 17, 2021
edited by Batterydude6000  Apr 17, 2021
#7
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-x + y - 1  >   0

And

-2x + y + 4   ≤  0

Hope  that'swhat you need....

Apr 17, 2021
#8
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1st one is correct... sadly, 2nd one is not.

TY THO

Batterydude6000  Apr 17, 2021
#9
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Here is the  graph of  the second  :

https://www.desmos.com/calculator/tf81xtdbvp

I'm not  sure  of what they  want

Apr 17, 2021