+0  
 
0
34
1
avatar

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


 

(Give your answer in the form  or  where   and  are integers with no common factor other than 1.)

 Jun 3, 2021
 #1
avatar+119778 
+1

Here  we  have  a solid  line

 

Note that   (2,0)   and (3,2)     are  on the solid line

Slope =  (  2 - 0 )  / ( 3 - 2)  =  2/1   =  2

 

Using (2,0)  and the slope.....the  equation    is

 

y  =  2 ( x - 2)

 

y = 2x  -  4

 

However  ....we  have  a solid line inequality  so  we  have  either

 

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

 

Note  that the point (3,0)  is in the  yellow  region and this  satisfies  the 1st inequality

 

So  we have

 

y ≤  2x -  4         rewrite as

 

4  ≤  2x  -  y    and again

 

2x - y   ≥   4   or      2x  - y  - 4   ≥  0

 

Either is correct

 

cool cool cool

 Jun 3, 2021

52 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar