Select the system of linear inequalities whose solution is graphed.

y > 3x – 1; x + 3y < 6


y ≥ 3x – 1; x + 3y ≤ 6


y < 3x – 1; x + 3y > 6


y ≤ 3x – 1; x + 3y ≥ 6

Select the system of linear inequalities whose solution is graphed y gt 3x 1 x 3y lt 6 y 3x 1 x 3y 6 y lt 3x 1 x 3y gt 6 y 3x 1 x 3y 6 class=

Respuesta :

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]