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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.

  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:

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

associative property hopes this ! : )

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: