To determine which points are part of the solution set for the inequality \( y \leq \frac{2}{5}x + 1 \), we need to evaluate each point and see if it satisfies the inequality.
The line represented by the equation \( y = \frac{2}{5}x + 1 \) is the boundary of the solution set. The solution set for the inequality includes all points on the line and all points below it (since we have \( \leq \)).
Here’s an approach to check if a point \((x, y)\) satisfies the inequality:
- Substitute the \( x \) value of the point into the equation to find the corresponding \( y \) value on the line.
- Compare the \( y \) value of the point to the value obtained from the equation. If the \( y \) value of the point is less than or equal to the value from the equation, then the point is part of the solution set.
If you have specific points in mind, please share them, and I can help you determine which ones satisfy the inequality \( y \leq \frac{2}{5}x + 1 \).
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