Which of the following ordered pairs (x, y) satisfies the inequality 5x −3y < 4?I. (1, 1)II. (2, 5)III. (3, 2)
Correct answer: C. I and II only
- A. I only
- B. II only
- C. I and II only
- D. I and III only
Explanation
Option C is correct because both ordered pairs (1, 1) and (2, 5) satisfy the inequality 5x − 3y < 4. For (1, 1), substituting gives 2 < 4, which is true. For (2, 5), substituting gives −5 < 4, also true. However, substituting (3, 2) gives 9 < 4, which is false. Thus, (1, 1) and (2, 5) are the only ordered pairs that make the inequality true. Options A and B each miss one of the pairs that satisfy the inequality, and option D includes (3, 2), which does not satisfy the inequality.
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