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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 A. 3x+2y is less than or equal to 3 and 3x+4y is greater than or equal to 2. B. 3x+2y is less than 3 and 3x+4y is greater than 2. C. 3x+2y is greater than 3 and 3x+4y is less than 2. D. 3x2y is greater than or equal to 3 and 3x+4y is less than or equal to 2. .

The test point satisfies both of the inequalities in the system represented by the graph.

Select the correct answer from each dropdown menu Which system of inequalities does the graph represent Which test point satisfies both of the inequalities in t class=

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Answer:

  A. 3x+2y is less than or equal to 3 and 3x+4y is greater than or equal to 2.

Step-by-step explanation:

Both lines on the graph are solid, so both inequalities must include the "or equal to" case. (This eliminates choices B and C.)

The graph is shaded below the line 3x+2y=3, so the corresponding inequality is 3x +2y ≤ 3. (This eliminates choice D.)

The correct system of inequalities is choice A:

  • 3x +2y ≤ 3
  • 3x +4y ≥ 2

The point (-2, 3) is in the solution set for both inequalities.

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