Answer:
The required solution of the inequality is (16,20).
Step-by-step explanation:
Let the amount of fruit juice is the bowl be x and the amount of ginger ale be y.
Zane is mixing fruit punch in a 36-cup punch bowl for a party.
[tex]x+y\leq 36[/tex] .... (1)
He plans to add at least 16 cups of fruit juice to the bowl before adding ginger ale.
[tex]x\geq 16[/tex] .... (2)
The related equation of the given inequality are
[tex]x+y=36[/tex] .... (1)
[tex]x=16[/tex] ... (2)
On solving (1) and (2) we get
[tex]x=16,y=20[/tex]
Check the inequality on point (0,0).
[tex]0+0\leq 36[/tex]
[tex]0\leq 36[/tex]
This statement is true, therefore we will shade towards the origin.
[tex]0\geq 16[/tex]
This statement is false, therefore we will shade opposite to the origin.
The required solution of the inequality is (16,20).
