Graph this:

y greater than or equal to 2x-3
2x-2y is less than or equal to 1

2x-2y is less than or equal to 1
2x is less than or equal 2y
x is less than or equal y

how do u graph this? how to graph x is less than or equal to y?

To graph the inequalities y ≥ 2x - 3 and x ≤ y, follow these steps:

1. Draw the coordinate axes (x-axis and y-axis) on a graph paper.
2. Start with the inequality y ≥ 2x - 3. To plot this, first determine the slope and y-intercept. Comparing it with the slope-intercept form, y = mx + b, we see that the slope, m, is 2, and the y-intercept, b, is -3. So, the line passes through the point (0, -3). Plot this point on the graph paper.
3. Next, use the slope to plot additional points. Since the slope is 2, you can move up 2 units and right 1 unit from the initially plotted point to find another point. Plot this point.
4. Continue the process of moving up 2 units and right 1 unit to plot more points on the line. For example, from the second point, move up 2 units and right 1 unit to find the third point, and so on.
5. Connect all the plotted points with a solid line since the inequality is "greater than or equal to" (≥).

Now, let's move on to graphing x ≤ y, as mentioned in the second inequality.

6. To graph x ≤ y, it is helpful to first change it to the slope-intercept form. Rewrite it as y ≥ x.
7. Now, draw the line y = x on the graph paper. Since the slope is 1 and the y-intercept is 0, the line passes through the point (0, 0). Plot this point.
8. Similar to the previous steps, use the slope of 1 to plot additional points. For example, from the first plotted point, move up 1 unit and right 1 unit to find another point, and so on.
9. Connect all the plotted points with a solid line since the inequality is "greater than or equal to" (≥).

To summarize, the graph will consist of two lines: one representing y ≥ 2x - 3 and another representing y ≥ x. The shaded region where these two lines intersect will be the solution to the system of inequalities.