The graph of a system of inequalities is shown.
Create the system of inequalities that is represented by the graph.
Determine the boundary line of each of the two inequalities first.
It is necessary to determine the yintercept, slope, and inequality sign of each boundary line. A dashed boundary line designates using a < or > sign. A solid boundary line designates a ≤ or ≥ sign. An inequality shaded above the line uses a > or ≥ sign. An inequality shaded below the boundary line uses a < or ≤ sign. Slopeintercept form is y = mx + b m is the slope of the line b is the yintercept of the line One line has a yintercept of 3 and a slope of 0, with a dashed boundary line. Also it is shaded below the line, indicating the use of a < sign. y < 3 {slope is zero and the yintercept is 3} The other line has a yintercept of 5 and a slope of 2/3. Also, it is shaded above the line, indicating the use of a ≥ sign y ≥ (2/3)x  5 {slope is 2/3 and the yintercept is 5} The system of inequalities is: y < 3 y ≥ (2/3)x  5 Ask Algebra House Comments are closed.

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