Questions: For each ordered pair (x, y), determine whether it is a solution to the inequality y<0. (x, y) Is it a solution? Yes No --------- (8,42) (2,13) (-7,-37) (-9,-39)

For each ordered pair (x, y), determine whether it is a solution to the inequality y<0.

(x, y)  Is it a solution? Yes  No
---------
(8,42)   
(2,13)   
(-7,-37)   
(-9,-39)
Transcript text: For each ordered pair $(x, y)$, determine whether it is a solution to the inequality $y<0$. \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{$(x, y)$} & \multicolumn{2}{|c|}{ Is it a solution? } \\ \cline { 2 - 3 } & Yes & No \\ \hline$(8,42)$ & & \\ \hline$(2,13)$ & & \\ \hline$(-7,-37)$ & & \\ \hline$(-9,-39)$ & \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

Step 1: Substitute the values into the inequality

Substitute \((x, y) = (8, 42)\) into the given linear inequality \(0x + y \mathrel{\#<} 0\). This gives us \(0 \cdot 8 + 1 \cdot 42 = 42\).

Step 2: Check if the inequality holds

Since \(42 \mathrel{\#<} 0\) is false, the ordered pair \((8, 42)\) is not a solution to the inequality.

Final Answer: The ordered pair is not a solution to the inequality.

Step 1: Substitute the values into the inequality

Substitute \((x, y) = (2, 13)\) into the given linear inequality \(0x + y \mathrel{\#<} 0\). This gives us \(0 \cdot 2 + 1 \cdot 13 = 13\).

Step 2: Check if the inequality holds

Since \(13 \mathrel{\#<} 0\) is false, the ordered pair \((2, 13)\) is not a solution to the inequality.

Final Answer: The ordered pair is not a solution to the inequality.
Step 1: Substitute the values into the inequality

Substitute \((x, y) = (-7, -37)\) into the given linear inequality \(0x + y \mathrel{\#<} 0\). This gives us \(0 \cdot -7 + 1 \cdot -37 = -37\).

Step 2: Check if the inequality holds

Since \(-37 \mathrel{\#<} 0\) is true, the ordered pair \((-7, -37)\) is a solution to the inequality.

Final Answer: The ordered pair is a solution to the inequality.
Step 1: Substitute the values into the inequality

Substitute \((x, y) = (-9, -39)\) into the given linear inequality \(0x + y \mathrel{\#<} 0\). This gives us \(0 \cdot -9 + 1 \cdot -39 = -39\).

Step 2: Check if the inequality holds

Since \(-39 \mathrel{\#<} 0\) is true, the ordered pair \((-9, -39)\) is a solution to the inequality.

Final Answer: The ordered pair is a solution to the inequality.
Was this solution helpful?
failed
Unhelpful
failed
Helpful