6
QuizMultiple Choice

Linear Programming — Quiz

Question 6 • Advanced Financial Algebra

Which system of inequalities is satisfied by the point (2,3) ?

Answer
A
y is greater than x plus 1 and y<x+1
B
y>x and y is less than or equal to negative x
C
y≤x+3 and y>2⁢x−2
D
y≥x+3 and y≤x−3

Explanation

Substitute x = 2 and y = 3 into choice C. The first inequality gives 3 ≤ 2 + 3, or 3 ≤ 5, and the second gives 3 > 2(2) − 2, or 3 > 2. Both inequalities are true, so the point satisfies the system in choice C: y ≤ x + 3 and y > 2x − 2.

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