<h3>
Answer: Yes (4,1) is a solution</h3>
===================================================
Explanation:
Plug (x,y) = (4,1) into the first inequality
We replace x with 4. There is no y value to worry about here.
After doing so, x ≥ 4 turns into 4 ≥ 4 which is a true statement.
----------------
Plug (x,y) = (4,1) into the second inequality
x + 7y ≤ 11 turns into 4 + 7(1) ≤ 11 which simplifies to 11 ≤ 11
This is also a true statement.
----------------
Both inequalities result in true statements after plugging in (x,y) = (4,1). Therefore, (4,1) is a solution.
