(Solved): Find the system of linear inequalities that corresponds to the system shown. \\[ \\begin{array}{r} ...

Find the system of linear inequalities that corresponds to the system shown. \\[ \\begin{array}{r} 14 x+6 y \\\\ 4 x+10 y \\\\ -10 x+4 y \\end{array} \\] Find all the corner points of the feasible region. (Order your answers from smallest to largest \\( x \\), then from smallest to largest \\( y \\).) \\[ \\begin{array}{l} (x, y)=\\text { ( } \\\\ x \\text {, } \\\\ \\text { ) (smallest } x \\text {-value) } \\\\ (x, y)=( \\\\ x, \\text { ) } \\\\ (x, y)=( \\\\ \\end{array} \\] \\( \\mathbf{x} \\), ) (largest \\( x \\)-value)