Question

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y 3x + 1 are solutions. Only values that satisfy y 3x + 1 or y < 3x – 3 are solutions. There are no solutions.

Answer 1

No solution is correct.

Explanation:

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Answer 2

The correct option is;

There are no solutions

Explanation:

From the graph of the inequality, with the y-intercept = 1 and slope = 3 for the blue shaded inequality

The equation is y > 3x + 1

While that of the other red shaded inequality, the slope is 3 and the y-intercept = -3

The equation is y < 3x - 3

Given that the two inequalities are parallel line that their domains do not overlap, we have that there are no solutions as the y-coordinate values of y > 3x + 1 are always larger for a given x-coordinate value than the y-coordinate value of y < 3x - 3.