Question

Select the correct answer from each drop-down menu. Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system? The graph represents the system of inequalities . The test point satisfies both of the inequalities in the system represented by the graph.

Answer 1

The system of inequality that the graph represents is E. 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to 3

How to illustrate the graph?

In the graph, when 2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

When 2x + 2y = 3

2y = -2x + 3

y = -x + 3/2

On the graph, -2/3x + 4/3 is illustrated on the first line while -x + 3/2 is illustrated on the second line.

Therefore, the correct option is E.

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