Which graph shows the solution to the system of linear inequalities? y< 2x-5
y> -3x + 1

Step-by-step explanation: Given the two inequalities: To graph them, first of all, let us write their corresponding equations: We now find at least 2 points each which satisfy the equations to plot the graph. Equation : Putting x = 0, y = 1 Putting y = 0, x = . Two points are (0, 1) and (, 0). Equation : Putting x = 0, y = -2 Putting y = 0, x = 1. Two points are (0, -2) and (1, 0). Now, let us plot them. Let us take a point (1, 4) and check whether it satisfies the first inequality. Which is true. So, The shaded region will be towards point (1,4). Let us take a point (1, 4) and check whether it satisfies the second inequality. So, The shaded region will be opposite to point (1,4). Please refer to the attached graph for the answer. No solution exists for them because there is no common shaded region.

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