At what values of x does the point on the graph of the function y = 3x + 4.5 lie above the points

At what values of x does the point on the graph of the function y = 3x + 4.5 lie above the points on the graph of the function y = -2x + 1?

1. The point of the graph of the function y = 3x + 4.5 lies above the point of the graph of the function y = -2x + 1, if the ordinate of the first exceeds the ordinate of the second. To find these points, we solve the inequality:

y = 3x + 4.5;
y = -2x + 1;
3x + 4.5> -2x + 1.
2. Move the variables to the left side, and the numbers to the right side of the inequality, changing their signs, and present similar terms:

3x + 2x> 1 – 4.5;
5x> -3.5;
x> -3.5: 5;
x> -0.7;
x ∈ (-0.7; ∞).
Answer: (-0.7; ∞).