The combined effect is a shaded region that satisfies both conditions: y >= 2x + 1 and y < 5x - 3.
How to plot inequality
For y>=2x + 1,
plot the line y = 2x + 1 as a solid line
Shade the region above this line to represent the y >=2x + 1 inequality.
For 5x > y + 3,
plot the line y = 5x - 3 as a dashed line
Shade the region below this line to represent the y < 5x - 3 inequality.
Writing the compound inequality
The compound inequality includes the intersection of the two regions defined by the individual inequalities.The shaded region common to both inequalities is where the region above (y = 2x + 1) intersects with the region below (y = 5x - 3).
Reasoning:
The solution to the compound inequality is the region where both shaded areas overlap on the graph.
This region satisfies both y >= 2x + 1 and y < 5x - 3.