Nora is picking apples, and she wants both gala and honeycrisp apples for pies. She needs at least 19 apples. There is a shortage of gala apples, so the orchard requests that each visitor pick no more than 5 gala apples.
To represent the situation, Nora defined x as the number of gala apples and y as the number of honeycrisp apples. She wrote this system of inequalities:
x≤5
x+y≤19
Does the system of inequalities correctly represent the situation?
a. yes
b. No, neither inequality correctly represents the situation.
c. No, the inequality x ≤ 5 does not correctly represent the situation.
d. No, the inequality x + y ≤ 19 does not correctly represent the situation.
c. No, the inequality x ≤ 5 does not correctly represent the situation.
This is because the orchard requests that each visitor pick no more than 5 gala apples, not exactly 5 gala apples. So the correct inequality should be x < 5.