To determine whether a given point is a solution to the linear inequality \(3x - 7.2y < 0\), you need to substitute the coordinates of that point into the inequality.
Here's how you can do it step by step:
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Identify the Point: Let's say the given point is \((x_0, y_0)\).
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Substitute into the Inequality: Replace \(x\) with \(x_0\) and \(y\) with \(y_0\) in the inequality:
\[ 3x_0 - 7.2y_0 < 0 \]
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Evaluate the Expression: Calculate the left-hand side \(3x_0 - 7.2y_0\).
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Determine the Result:
- If the result is less than 0, then the point \((x_0, y_0)\) is a solution to the inequality.
- If the result is greater than or equal to 0, then the point is not a solution.
For example, if the point is \( (2, 1) \):
- Substitute into the inequality: \[ 3(2) - 7.2(1) < 0 \] \[ 6 - 7.2 < 0 \] \[ -1.2 < 0 \quad \text{(True)} \]
Thus, the point \((2, 1)\) is a solution to the inequality \(3x - 7.2y < 0\).
If you have a specific point in mind, please provide it and I can help you evaluate it!