Final answer:
The correct choice that matches the system of inequalities y > -3x and y < 2 is (b) y < 2, which is the second part of the system, defining the upper limit for the y-values.
Step-by-step explanation:
The student asks which of the following choices matches the system y > -3x and y < 2. The given inequalities define a region in the coordinate system where the values of y are both greater than the line with a slope of -3 (downward sloping) and less than the horizontal line y = 2.
Choice (a) y > -3 does not specifically match the system since it does not account for the slope of the line. Choice (b) y < 2 matches the second part of the system, placing a limit on the y-values. Choice (c) y > 2 contradicts the conditions of the system. Therefore, the correct answer is choice (b) y < 2.
The subject matter involves understanding inequalities and linear equations, specifically identifying the range of y-values in a system of inequalities.