The graph that represents the solution of linear inequalities 3x + 2y >= 4 and x + 3y <= 2 is attached below. The shaded region represents the solution of the inequalities.
What is meant by graphing a linear inequality?
To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line. Next, choose a test point not on the boundary. If the test point solves the inequality, then shade the region that contains it; otherwise, shade the opposite side.
Learn more about graphing linear inequality here
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