Given y < 3 x + 5 and y > -3 x + 2
Convert inequalities into equations
y = 3 x + 5
y= -3 x + 5
Find the value of x and y for each equation. plug different values of x in both equations
For y = 3 x + 5
------------------
x y
-----------------
0 5
1 8
-1 2
For y = -3 x + 2
--------------
x y
----------------
0 2
1 -1
-1 5
Choose a test point to determine the solution.
For the test point (0,0)
0 < 0 + 5 ==> 0 < 5 (true)
0 > 0 +2 ==> 0 > 2 (false)
Since first equation is true & second is false first line shaded towards the origin & second line outward the origin.
The solution is shaded in blue color where the two shading overlap one another.
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