Answer:
[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]
Step-by-step explanation:
we know that
step 1
Find the inequality of the solid line x+3y=6
The solution is the shaded area below the solid line
therefore
The equation of the inequality is
[tex]x+3y\leq 6[/tex]
step 2
Find the inequality of the solid line y=3x-1
The solution is the shaded area above the solid line
therefore
The equation of the inequality is
[tex]y\geq 3x-1[/tex]
therefore
The system of linear inequalities is
[tex]y\geq 3x-1[/tex] ; [tex]x+3y\leq 6[/tex]