(Solved): Discrete mathematics 1. A nonempty, finite, partially orderedset has at least one minimal element ...

Discrete mathematics

1. A nonempty, finite, partially orderedset has at least one minimal element. (0.5 Points) True False 2. Determine whether following sentence is a statement or not. This is a false sentence and \( 2 \times 2=4 \). (0.5 Points) It is a statement It is not a statement. 3. Determine whether following sentence is a statement or not. If \( 3+3=9 \) then \( 3=5 \). (0.5 Points) It is a statement It is not a statement. (0.5 Points) \[ A-(B \cup C) \] \( \emptyset \) \( A \cup(B-C) \) \( C \cup B \) 5. Comparable equivalence relations are called Total Order Relations. (0.5 Points) True False 6. The set of all rational numbers is \( (0.5 \) Points) countable uncountable 7. "If \( x \) is greater than 2 , then \( x^{\wedge} 2 \) is greater than 4 . \( x \) is not greater than 2 . Therefore, \( x^{\wedge} 2 \) is not greater than \( 4 . " \) There is an error in this argument. Which error type is it? (0.5 Points) Converse error Inverse error 8. Suppose \( p \rightarrow q \) is a false statement. Then what is the truth value of \( \sim p v q \) ? [ [\$1) \( (0.5 \) Points) True False