# Which of the following inequalities matches the graph? graph of an inequality with a solid line through the points (0, −2) and (2, 1)with shading above the line

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## Question:

Which of the following inequalities matches the graph? graph of an inequality with a solid line through the points (0, −2) and (2, 1)with shading above the line

3x − 2y greater than or equal to 4  3x − 4y less than or equal to 2  3x − 2y less than or equal to 4  The correct inequality is not listed.

The correct option is 3.

Step-by-step explanation:

It is given that graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.

The equation of solid line is   The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.

Check the related equation by point (0,0).  The statement is true if and only if the sign is greater than or equal instead of equal.

The required inequality is Multiply both sides by 2.

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