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avatar+47 

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

 

 

link

 Jun 14, 2021
 #1
avatar+121056 
+2

The  inequality  has  a  solid-line boundary

So....we  will  either have     ≥   or   ≤ 

 

Note  that  the points  ( 2,0)  and (  0  , -4)   are on te boundary

Slope  be tween  these  points =   ( -4 -0)  / ( 0 -2)  =   -4  /  -2   = 2

 

Equation of the boundary line  using  (0 , -4)  is

 

y =  2x   - 4

 

But....we  either  have

 

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

 

If  we  test  a point which lies in the  yellow region  ( I'll   use (3, 0)  )  note  that it satisfies

 

y  ≤   2x  - 4

 

 

cool cool cool

 Jun 14, 2021
 #2
avatar+47 
+2

2x - y - 4 ≥ 0

 

so close  but i got it wrong

bossboy1335  Jun 14, 2021
 #3
avatar+34328 
+2

No...you have it correct also, bossyboy !

ElectricPavlov  Jun 14, 2021
 #4
avatar+47 
+1

OH THANK YOU i got it CORRECT!

bossboy1335  Jun 14, 2021

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