Determine whether the ordered pair is a solution of the given inequality. \[ y \leq-4 x+9 ;(1,9) \] Is $(1,9)$ a solution of the given inequality? No Yes

Step 1 ：We are given the inequality \(y \leq -4x + 9\) and the ordered pair \((1,9)\). We need to determine whether this ordered pair is a solution to the inequality.

Step 2 ：To do this, we substitute the values of \(x\) and \(y\) from the ordered pair into the inequality. If the inequality holds true, then the ordered pair is a solution. If not, it is not a solution.

Step 3 ：Substituting \(x = 1\) and \(y = 9\) into the inequality, we get \(9 \leq -4(1) + 9\).

Step 4 ：Solving the right side of the inequality, we get \(9 \leq 5\).

Step 5 ：Since 9 is not less than or equal to 5, the inequality does not hold true.

Step 6 ：Therefore, the ordered pair \((1,9)\) is not a solution of the given inequality \(y \leq -4x + 9\).

Step 7 ：\(\boxed{\text{No, the ordered pair }(1,9)\text{ is not a solution of the given inequality }y \leq -4x + 9}\)