In a certain code: 'X @ Y' means X = Y; 'X $ Y' means X Y. Given 'A $ B' and 'C @ B', which conclusion(s) are definitely true? I. A $ C (A C). II. C $ A (C A).

Question

In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y. Given 'A $ B' and 'C @ B', which conclusion(s) are definitely true? I. A $ C (A > C). II. C $ A (C > A).

Accepted Answer

Neither conclusion I nor II follows. A > B and C >= B both point 'down' to B, so A and C are not linked; neither A > C nor C > A is certain. They are also not a complementary pair (the equal case is missing).

In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y. Given 'A $ B' and 'C @ B', which conclusion(s) are definitely true? I. A $ C (A > C).
II. C $ A (C > A).

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Inequalities practice

In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y. Given 'A $ B' and 'C @ B', which conclusion(s) are definitely true? I. A $ C (A > C).II. C $ A (C > A).

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Inequalities practice

In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y. Given 'A $ B' and 'C @ B', which conclusion(s) are definitely true? I. A $ C (A > C).
II. C $ A (C > A).