Part 1) we have
[tex]x > 3[/tex]
[tex]y \leq 2x- 5[/tex]
Step [tex]1[/tex]
Graph the system
using a graph tool
The solution of the system of inequalities is the shaded area
see the attached figure N [tex]1[/tex]
we know that the point that represents a solution to the system are inside the shaded area
Step [tex]2[/tex]
Graph the points
we have
[tex]A. (5, 6) \ B. (4, -1)\ C. (-3, -1)\ D. (1, 11)[/tex]
the point that represents a solution to the system are
the solution is the point B------> see the attached figure N [tex]1[/tex]
Part 2) we have
[tex]x-y \geq 7[/tex]
[tex]x + 2y < 5[/tex]
Step [tex]1[/tex]
Graph the system
using a graph tool
The solution of the system of inequalities is the shaded area
see the attached figure N [tex]2[/tex]
we know that the point that represents a solution to the system are inside the shaded area
Step [tex]2[/tex]
Graph the points
we have
[tex]A. (6,1) \ B. (8,-1)\ C. (6,2)\ D.(6,-2)[/tex]
the point that represents a solution to the system are
the solution is the point D------> see the attached figure N [tex]2[/tex]
Part 3) we have
[tex]3x - 4y > 0[/tex]
[tex]x - 5y > 0[/tex]
Step [tex]1[/tex]
Graph the system
using a graph tool
The solution of the system of inequalities is the shaded area
see the attached figure N [tex]3[/tex]
we know that the point that represents a solution to the system are inside the shaded area
Step [tex]2[/tex]
Graph the points
we have
[tex]A. (-4,-2) \ B. (6,0)\ C.(0,0)\ D. (6,2)[/tex]
the point that represents a solution to the system are
the solution is the point B------> see the attached figure N [tex]3[/tex]
