Answer:
Option B.
Step-by-step explanation:
We need to find a linear inequality that could represent the given table of values.
For inequality 1,
[tex]y<-2x+3[/tex]
Check the inequality by each order pair. For (3,-3)
[tex]-3<-2(3)+3\Rightarrow -3<-3[/tex]
This statement is not true. So, option A is incorrect.
Inequality 2,
[tex]y\leq -2x+3[/tex]
For (-4,-1), [tex]-1\leq -2(-4)+3\Rightarrow -1\leq 11[/tex] True
For (-2,4), [tex]4\leq -2(-2)+3\Rightarrow 4\leq 7[/tex] True
For (3,-3), [tex]-3\leq -2(3)+3\Rightarrow -3\leq -3[/tex] True
For (3,-4), [tex]-4\leq -2(3)+3\Rightarrow -4\leq -3[/tex] True
All points of given table satisfied by the inequality [tex]y\leq -2x+3[/tex].
Therefore, the correct option is B.
