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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 ____[(-2,3), (-1,1), (0,2), or (1,1)] satisfies both of the inequalities in the system represented by the graph.

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 ineq class=

Respuesta :

The answer is A , and the only test point that satisfies both inequalities in the system is (-2,3)

When 3x + 2y = 3 ,
2y = -3x + 3
y = -3/2 x + 3/2

When 3x + 4y = 2 ,
4y = -3x + 2
y = -3/4 x + 1/2
Since there is no any dashed line appeared on the graph ,
y 《 -3/2 x + 3/2 (1st line)
y 》 -3/4 x + 1/2 (2nd line)
So the answer is A
For the second part, (-2,3) is the only test point that was located in the region between these two lines , the rest of the points were located outside the region causing them couldn't satisfy both inequalities.

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