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.)
+130511 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
