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avatar+1493 

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+126978 
+1

The line is not solid....so  we will have either   a    <   or >    inequality

 

Two points crossed by  the "line"  are   (-3,0) and (0, -5)

 

Slope =  [ -5 -0 ] /[ 0 - -3]  =   -5 / 3

 

Using  (0, -5)  the equation of the inequality  is either

 

y  > (-5/3) ( x)  - 5    or   y < (-5/3)x - 5

 

(0,0) is not in  the shaded area and it satisfies  y > (-5/3)x - 5

 

So.....the other equation is  correct

 

y < (-5/3)x -5            (multiply through by 3)

 

3y  < -5x - 15

 

5x + 3y <  -15

 

cool cool cool

 Dec 15, 2023

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