To find a solution to the simultaneous inequalities \( y \leq 35x - 4 \) and \( y \leq 15x + 1 \), we will look for points that satisfy both conditions.
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Graph the inequalities:
- For \( y \leq 35x - 4 \), this represents a region below the line \( y = 35x - 4 \).
- For \( y \leq 15x + 1 \), this represents a region below the line \( y = 15x + 1 \).
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Evaluate points: To determine which points satisfy the inequalities, we can substitute \( x \) and \( y \) from the given points into both inequalities and check if they hold true.
However, since the specific points you are asking about are not provided, I can't directly evaluate them. You can follow these steps to determine which points are solutions:
- Take each point \( (x, y) \) you have in mind.
- Substitute \( x \) into both inequalities to find the corresponding values of \( y \).
- Check if \( y \) from the point is less than or equal to both \( 35x - 4 \) and \( 15x + 1 \).
If you have specific points to test, please provide them, and I can help you evaluate which one(s) satisfy the inequalities.
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