Which of the following ordered pairs (x, y) satisfies the inequality 5x −3y < 4?I. (1, 1)II. (2, 5)III. (3, 2)

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.