Question

Select the system of linear inequalities whose solution is graphed.

Answer 1

Answer:

$y\geq 3x-1$ ; $x+3y\leq 6$

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

$x+3y\leq 6$

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

$y\geq 3x-1$

therefore

The system of linear inequalities is

$y\geq 3x-1$ ; $x+3y\leq 6$