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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 ax + by + c > 0 or ax + by + c >= 0 where a, b and c are integers with no common factor greater than 1.)

 

 May 8, 2021

Best Answer 

 #2
avatar+32894 
+2

The shaded area is everything GREATER than but not including the line (because it is dashed)

Find slope of the line using two convenient integer points    slope = rise / run =  2

b, the y axis intercept is shown to be +1

so the line equation is  y = 2x+1

  the shaded area is   y > 2x+1    re-arrange to the requsted form

                                -2x+y -1 > 0

 May 8, 2021
edited by ElectricPavlov  May 8, 2021
 #1
avatar+120287 
0

NVM.....EP's  answer  below  is  the correct  one.....

 

 

cool cool cool

 May 8, 2021
edited by CPhill  May 8, 2021
 #2
avatar+32894 
+2
Best Answer

The shaded area is everything GREATER than but not including the line (because it is dashed)

Find slope of the line using two convenient integer points    slope = rise / run =  2

b, the y axis intercept is shown to be +1

so the line equation is  y = 2x+1

  the shaded area is   y > 2x+1    re-arrange to the requsted form

                                -2x+y -1 > 0

ElectricPavlov May 8, 2021
edited by ElectricPavlov  May 8, 2021

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