Problem
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes. If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters). a. Is $(3,5)$ a solution to $y<14-x$ ? b. Is $(4,8)$ a solution to $y \leq 11-x$ ? c. Is $(5,9)$ a solution to $y>14-x$ ? d. Is $(6,11)$ a solution to $y \geq 18-x$ ?
Solution
Step 1 ：We need to substitute x=3 and y=5 into the inequality \(y<14-x\) and check if the inequality holds true.
Step 2 ：If it does, then the point (3,5) is a solution to the inequality. If it does not, then the point (3,5) is not a solution.
Step 3 ：The inequality holds true when we substitute x=3 and y=5.
Step 4 ：Therefore, the point (3,5) is a solution to the inequality \(y<14-x\).
Step 5 ：\(\boxed{\text{yes}}\)
