Answer:
To determine if (-1, 4) is a solution to y < -3x + 2, we need to substitute x = -1 and y = 4 into the inequality and see if the inequality is true:
4 < -3(-1) + 2
4 < 3 + 2
4 < 5
Since 4 is not less than 5, the inequality is false when we substitute x = -1 and y = 4. Therefore, (-1, 4) is not a solution to y < -3x + 2.
To graph the inequality y < -3x + 2, we can first graph the line y = -3x + 2 (which has a y-intercept of 2 and a slope of -3) as a dashed line (since the inequality is "less than" and not "less than or equal to"). Then, we can shade the region below the line to represent all the points that satisfy the inequality.
Here is a graph of y < -3x + 2:
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-2 0 2 4
The dashed line represents the line y = -3x + 2, and the shaded region represents all the points that satisfy y < -3x + 2.