Question

Indicate whether (4, 11) is a solution of the given system.
Y ≤ 2x
y > x + 3

Answer 1

Answer: No it is not a solution

Why not? Because it makes the first inequality false when you replace the letters with the proper values. The point is (x,y) = (4,11) so x = 4 and y = 11

The inequality
`y \le 2x` becomes
`11 \le 2*4` after you replace x with 4 and y with 11. Simplify the right hand side and we end up with
`11 \le 8` which is a false statement. This proves that (4,11) is not a solution. A solution would make both inequalities true.