Question
Is(8, 2)a solution to the inequality y ≥ 3x + 9?
Answers
GPT-4o mini
To determine if the point \((8, 2)\) is a solution to the inequality \(y \geq 3x + 9\), we can substitute \(x = 8\) and \(y = 2\) into the inequality and see if it holds true.
First, let's calculate \(3x + 9\) when \(x = 8\):
\[
3(8) + 9 = 24 + 9 = 33
\]
Now, we compare \(y\) with \(3x + 9\):
\[
2 \geq 33
\]
This statement is false. Therefore, \((8, 2)\) is not a solution to the inequality \(y \geq 3x + 9\).
First, let's calculate \(3x + 9\) when \(x = 8\):
\[
3(8) + 9 = 24 + 9 = 33
\]
Now, we compare \(y\) with \(3x + 9\):
\[
2 \geq 33
\]
This statement is false. Therefore, \((8, 2)\) is not a solution to the inequality \(y \geq 3x + 9\).