Let's expand both sides of the inequality to simplify it:
Left side:(2-y) (3+y) = 6 - y^2
Right side:(4+y) (6-y) = 24 - 4y + 6y - y^2 = 24 + 2y - y^2
Now we have:6 - y^2 ≤ 24 + 2y - y^2
To simplify further, we can cancel out the -y^2 terms:6 ≤ 24 + 2y
Subtract 24 from both sides:-18 ≤ 2y
Divide by 2:-9 ≤ y
Therefore, the solution to the inequality is y ≥ -9.
Let's expand both sides of the inequality to simplify it:
Left side:
(2-y) (3+y) = 6 - y^2
Right side:
(4+y) (6-y) = 24 - 4y + 6y - y^2 = 24 + 2y - y^2
Now we have:
6 - y^2 ≤ 24 + 2y - y^2
To simplify further, we can cancel out the -y^2 terms:
6 ≤ 24 + 2y
Subtract 24 from both sides:
-18 ≤ 2y
Divide by 2:
-9 ≤ y
Therefore, the solution to the inequality is y ≥ -9.