To graph the inequality 3x - 2y > 10, start by graphing the equation 3x - 2y = 10. Choose two points on the line and connect them to draw the line. Shaded region is above the line.
To graph the inequality 3x - 2y > 10, we can start by graphing the equation 3x - 2y = 10, which represents the boundary line. To graph this line, we can choose two points on it and connect them with a straight line.
Let's choose x = 0. When x = 0, 3(0) - 2y = 10 simplifies to -2y = 10, which gives us y = -5. So, one point on the line is (0, -5).
Next, let's choose y = 0. When y = 0, 3x - 2(0) = 10 simplifies to 3x = 10, which gives us x = 10/3 or approximately 3.33. So, another point on the line is (10/3, 0).
We can now plot these two points on a coordinate plane and draw a line passing through them. Since the inequality is greater than, the shaded region will be above the line.