Question
Is the point (0,−3) a solution to the inequality y>4/5x−3
Answers
GPT-4o mini
To determine if the point \((0, -3)\) is a solution to the inequality \(y > \frac{4}{5}x - 3\), we can substitute \(x = 0\) and \(y = -3\) into the inequality.
1. Substitute \(x = 0\):
\[
y > \frac{4}{5}(0) - 3
\]
This simplifies to:
\[
y > -3
\]
2. Now substitute \(y = -3\):
\[
-3 > -3
\]
This statement is **not true** because \(-3\) is not greater than \(-3\).
Therefore, the point \((0, -3)\) is **not** a solution to the inequality \(y > \frac{4}{5}x - 3\).
1. Substitute \(x = 0\):
\[
y > \frac{4}{5}(0) - 3
\]
This simplifies to:
\[
y > -3
\]
2. Now substitute \(y = -3\):
\[
-3 > -3
\]
This statement is **not true** because \(-3\) is not greater than \(-3\).
Therefore, the point \((0, -3)\) is **not** a solution to the inequality \(y > \frac{4}{5}x - 3\).