Answer:
No.
Step-by-step explanation:
Let's substitute the given coordinate pair into each inequality:
[tex]y > 2x+6\\-4 > 2(-5)+6\\-4 > -10+6\\-4 > -4\rightarrow\text{Not true!}[/tex]
Since this coordinate pair does not satisfy the inequality (note the coordinate pair must satisfy BOTH inequalities), therefore (-5, -4) is not a solution to this system of inequalities.
