Math Problem Statement
Which point would not be a solution to the system of linear inequalities shown below? y, is less than, start fraction, 2, divided by, 3, end fraction, x, plus, 6, y, is less than, minus, start fraction, 3, divided by, 2, end fraction, x, plus, 3 y< 3 2 x+6y<− 2 3 x+3
Solution
To determine which point is not a solution to the system of inequalities, let's first understand the system of inequalities:
- y < (2/3)x + 6
- y < (-3/2)x + 3
These inequalities describe two lines in the coordinate plane. Points that satisfy these inequalities lie below both lines.
To figure out which point is not a solution, you would substitute the coordinates of the given points into both inequalities. If the point does not satisfy both inequalities, it is not a solution.
However, you haven't provided specific points. Could you provide a list of points to check, or would you like me to go over how to check if a specific point is a solution? Let me know how you'd like to proceed!
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Math Problem Analysis
Mathematical Concepts
Linear Inequalities
Graphing Inequalities
Systems of Inequalities
Formulas
y < (2/3)x + 6
y < (-3/2)x + 3
Theorems
Solution to a system of inequalities
Suitable Grade Level
Grades 8-10
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