Answer:
Option C is correct.
Step-by-step explanation:
We will check all the points to get the correct answer.
[tex]y\leq 4x+5[/tex]
(0,10) means x = 0, y = 10
[tex]10\leq 4(0)+5[/tex]
[tex]10\leq 5[/tex] .... wrong
(-6,4)
[tex]4\leq 4(-6)+5[/tex]
[tex]4\leq -24+5[/tex]
[tex]4\leq -19[/tex] .... wrong
(0,-2)
[tex]-2\leq 4(0)+5[/tex]
[tex]-2\leq 5[/tex] .... correct
(-4,0)
[tex]0\leq 4(-4)+5[/tex]
[tex]0\leq -16+5[/tex]
[tex]0\leq -11[/tex] ..... wrong
So, option C is correct.
