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