Given:
The point is (-2,4).
To find:
Whether the point (-2,4) satisfy [tex]y<3x+5,y=3x+5[/tex] or [tex]y >3x+5[/tex].
Solution:
We have a point (-2,4).
Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.
[tex]3x+5=3(-2)+5[/tex]
[tex]=-6+5[/tex]
[tex]=-1[/tex]
-1 is less than 4.
[tex]3x+5<4[/tex]
[tex]3x+5<y[/tex]
In can be written as
[tex]y>3x+5[/tex]
Therefore, the given point (-2,4) satisfy [tex]y >3x+5[/tex].
