Question

Could someone please help me & explain?

Answer 1

No.

Explanation:

Let's substitute the given coordinate pair into each inequality:

`y > 2x+6\\-4 > 2(-5)+6\\-4 > -10+6\\-4 > -4\rightarrow\text{Not true!}`

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.