+0  
 
0
20
1
avatar+1678 

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

 

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

 

 Dec 14, 2023
 #1
avatar+129742 
+1

Solid line  means that we have either   ≤ or ≥  inequality

 

Two points on the line are  (-3,0) and (0,6)

 

Slope =  (6 - 0) / ( 0 - -3)  =  6/3 =  2

 

Using ( 0,6)   the equation of the inequality is either

 

y ≤  2x + 6    or    y ≥ 2x + 6

 

(0,0) is in the shaded region  and satisfies the first equation

 

So

 

y   ≤  2x + 6

 

-2x + y  ≤  6

 

cool cool cool

 Dec 15, 2023
edited by CPhill  Dec 15, 2023

2 Online Users

avatar
avatar