Problem

Which of the following $(x, y)$ pairs makes the inequality $y \leq 4 x+5$ true? Select all that apply. \[ \begin{array}{l} (x, y)=(0,0) \\ (x, y)=(-8,10) \\ (x, y)=(0,5) \\ (x, y)=(5,26) \\ (x, y)=(5,25) \end{array} \]

Solution

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 :\(\boxed{\text{Final Answer: The pairs that make the inequality } y \leq 4x + 5 \text{ true are } (0,0), (0,5), (5,25)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/20393/

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