Step 1 :We are given the inequality \(y \leq 4x + 5\) and we need to find which pairs of \((x, y)\) make this inequality true.
Step 2 :The given pairs are \((0, 0), (-8, 10), (0, 5), (5, 26), (5, 25)\).
Step 3 :We substitute each pair into the inequality and check if it holds true.
Step 4 :After substitution, we find that the pairs \((0, 0), (0, 5), (5, 25)\) make the inequality true.
Step 5 :\(\boxed{\text{Final Answer: The pairs that make the inequality } y \leq 4x + 5 \text{ true are } (0,0), (0,5), (5,25)}\)