Given:
The inequality is:
[tex]-4x-7y<15[/tex]
To find:
The whether (-6,3) is a solution of given inequality of not.
Solution:
We have,
[tex]-4x-7y<15[/tex]
We need to check the inequality for point (-6,3).
Substitute [tex]x=-6, y=3[/tex] in the given inequality.
[tex]-4(-6)-7(3)<15[/tex]
[tex]24-21<15[/tex]
[tex]3<15[/tex]
This statement is true. It means the point (-6,3) satisfies the given inequality.
Therefore, the correct option is A. Yes, the ordered pair is a solution.
