Which ordered pair is NOT a solution to the inequality in the graph?
A. (0,0)
B.(-2,-4)
C.(0,2)
D.(-3,4)

Given:
The inequality is
[tex]y\leq 3x+2[/tex]
To find:
The ordered pair that is NOT a solution to the inequality in the graph.
Solution:
We have,
[tex]y\leq 3x+2[/tex]
Checking the inequality for (0,0), we get
[tex]0\leq 3(0)+2[/tex]
[tex]0\leq 2[/tex]
So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.
Checking the inequality for (-2,-4), we get
[tex]-4\leq 3(-2)+2[/tex]
[tex]-4\leq -6+2[/tex]
[tex]-4\leq -4[/tex]
So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.
Checking the inequality for (0,2), we get
[tex]2\leq 3(0)+2[/tex]
[tex]2\leq 2[/tex]
So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.
Checking the inequality for (-3,4), we get
[tex]4\leq 3(-3)+2[/tex]
[tex]4\leq -9+2[/tex]
[tex]4\leq -7[/tex]
This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.
Therefore, the correct option is D.