Question

Let p:4 is an even integer. q:-5 is a negative prime number. Write each of the following statements in terms ofp, q, and logical connectives: a. 4 is an even integer and-5 is a negative prime number. b. 4 is not an even integer and-5 is a negative prime number. c. If 4 is an even integer, then-5 is a negative prime number. d. 4 is an even integer if and only if-5 is a negative prime number. e. If 4 is not an even integer, then-5 is not a negative prime number 50 MATHEMATICS INTHE MODERN WORLD

Answer 1

Answer:

a. $p \wedge q$

b. $\neg p \wedge q$

c. $p\Rightarrow q$

d. $p \Leftrightarrow q$

e. $\neg p \Rightarrow \neg q$

Step-by-step explanation:

a. 4 is an even integer and -5 is a negative prime number, can be represented by: $p \wedge q$

b. 4 is not an even integer and-5 is a negative prime number, can be represented by: $\neg p \wedge q$

c. If 4 is an even integer, then-5 is a negative prime number, can be represented by: $p\Rightarrow q$

d. 4 is an even integer if and only if-5 is a negative prime number, can be represented by: $p \Leftrightarrow q$

e. If 4 is not an even integer, then-5 is not a negative prime number,  can be represented by: $\neg p \Rightarrow \neg q$