1 Identify a counterexample for the conjuncture lf the sum o

1. Identify a counterexample for the conjuncture: lf the sum of two integers is even, then both integers are even. a, 14+9=23 b. 6+10=16 d. none of these 2. Identify the contrapositive of the statement: If today is Tuesday, then tomorrow is Wednesday a. If tomorrow is Wednesday, then today is Tuesday b. If tomorrow is not Wednesday, then today is not Tuesday. c. If today is not Tuesday, then tomorrow is not Wednesday d. none of these 3. Identify the if-then form of the statement: All cars have four wheels. a. If a vehicle has four wheels, then it is a car. b. If a vehicle is a car, then it has four wheels. c. If a vehicle is not a car, then it does not have four wheels. d. none of these 4. Which statement represents the Law of Syllogism? a. If p q is a true conditional and p is true, then q is true. b. If p q and p r are true conditionals, then p r ist c. If a, b, and c are real numbers, then alb+c) - ab + ac. d. none of these 5. Name the property of equality that justifies the statement c. Symmetric a. Subtraction b. Transitive d. Substitution 6. Which property justifies the statement \"If XY ZW, then ZW -XY\"? a. Transitive Property of Congruent Statements b. Reflexive Property of Congruent Statements c. Symmetric Property of Congruent Statements d. none of these MTH05-c-0310-0-0001

Solution

Solution -

1) C) 3+9 = 12

Here sum 12 is even but 3 and 9 are odd.

2) C) If today is not Tuesday , Then tommorow is not Wednesday.

3) b) If vehicle is a car than it has four wheels .

4) Choice b is correct.

5) d) Substitution