Solve the system of two linear inequalities graphically. X>3 Y>2 find the region with points that satisfy both inequalities. Select the region you wish to be shaded a,b,c or d
To solve the system of inequalities x > 3 and y > 2, let's first graph the lines x = 3 and y = 2.
The line x = 3 is a vertical line passing through x = 3 on the x-axis.
The line y = 2 is a horizontal line passing through y = 2 on the y-axis.
The region that satisfies both inequalities is the portion of the graph that is on the right side of the line x = 3 and above the line y = 2.
Here is a graphical representation of the solution:
y | .
c | . .
. | . . .
b | . . .
. | . .
a |._______________________
| | |
| | |
| | |
-2 2 3 4 5 x
Therefore, the shaded region that satisfies both inequalities is region c.