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.)
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 )