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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 greater than 1.)

 Jun 3, 2021
 #1
avatar+128407 
+1

Imagine  that  we  have  a solid line

 

(-1,0)   and  (0, 1)  are on  the line

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

 

Equation if  this  were  a solid line would be   (using  ( 0.1) )

 

y =  -x  +  1

 

However  ....we  have  a  dashed line so  the  equation is either

 

y <  -x +  1           or         y >  x + 1

 

Note  that  (0,2)  is  in the yelllow  region    and this satisfies the 2nd inequality

 

So....we  have

 

y >  x + 1              rearrange as

 

x + 1  <  y          and again

 

x  - y  +  1   <   0         or       x - y   <   -  1

 

(Either form is  correct )

 

 

cool cool cool

 Jun 3, 2021
 #2
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+1

You are my favorite person on this planet thank you so much

Guest Jun 3, 2021

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