Solve the system of two linear inequalities graphically. x<6 x≥−3 Find the region with points that satisfy both inequalities. Select the region you wish to be shaded: A,B, C
To solve the system of linear inequalities x<6 and x≥−3, we can graph both inequalities on the same coordinate plane.
First, let's graph the inequality x<6. This means that any value of x that is less than 6 is included in the solution. We can represent this as a dashed line at x=6 and shade the region to the left of the line.
Next, let's graph the inequality x≥−3. This means that any value of x that is greater than or equal to -3 is included in the solution. We can represent this as a solid line at x=-3 and shade the region to the right of the line.
When we graph both of these inequalities on the same coordinate plane, we see that the shaded region representing the points that satisfy both inequalities is the region to the right of the solid line (x≥-3) and to the left of the dashed line (x<6).
This region is represented by option B.