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.)
+36916 The shaded area is everything less than and INCLUDING the line .... find the equation of the line to be
y = 2 x -4
shaded are is thus y <= 2x-4
+50 CPhill already answered to the same one before here it is:
The points ( 2,0) and (0, -4) are on the line
Slope of line = (-4 - 0) / ( 0 -2) = -4/-2 = 2
Equation of line (using 0,-4) is
y= 2x -4
Since we have an solid line the inequality is either
y ≤ 2x - 4 or y ≥ 2x - 4
Note that (3,1) is in the yellow region
If we test this point in both inequalities, note that
1 ≤ 2(3) - 4
1 ≤ 6 - 4
1 ≤ 2 is true
So....the correct inequality is y ≤ 2x - 4
