Answer:
Option A) (6, 0)
Step-by-step explanation:
we have
[tex]3x-2y\geq -6[/tex]
Isolate the variable y
[tex]-2y\geq -3x-6[/tex]
Divide by -2 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
[tex]y\leq1.5x+3[/tex]
The solution of the inequality is the shaded area below the solid line
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must lie in the shaded area of the solution set
so
(6,0) ----> belong to the shaded area
(-6,0) ---> not belong to the shaded area
(1,6) --> not belong to the shaded area
(-1,6) --> not belong to the shaded area
therefore
(6,0) is in the solution set
