we have a system of inequalities
y > 2x-3
the solution to this inequality is the shaded area above the dashed line y=2x-3
2x-y≥1
isolate the variable y
-y≥1-2x
multiply by -1 both sides
y≤2x-1
the solution to this inequality is the shaded area below the solid line y=2x-1
therefore
the solution of this system is the shaded area above the dashed line y=2x-3 and below the solid line y=2x-1
using a graphing tool
see the attached figure
please wait a minute to draw the solution
Problem N 2
we have
y<6
the solution to this inequality is the shaded area below the dashed line y=6
and
y>x+3
the solution to this inequality is the shaded area above the dashed line y=x+3
therefore
the solution to the system is the shaded area below the dashed line y=6 and above the dashed line y=x+3
