For each of the following statements, write negation, contrapositive, converse and inverse. if p is a square, then p is a rectangle .if n is prime, then n is odd or n is 2 .if 2 is a factor of n and 3 is a factor of n, then 6 is a factor of n

Step-by-step explanation:

Consider the provided information.

For the condition statement or equivalent "If p then q"

Part (A) If P is a square, then P is a rectangle.

Here p is "P is a square", and q is "Hill and P is a rectangle".

Negation: P is a square and P is not a rectangle.

Contrapositive: If P is not a rectangle then p is not a square.

Converse: If P is a rectangle then P is a square.

Inverse: If P is not a square then P is not a rectangle.

Part (B) If n is prime, then n is odd or n is 2

Here p is "n is prime", and q is "n is odd or n is 2".

Negation: n is prime and n is even and n is not 2.

Contrapositive: If n is not odd or n is not 2 then n is not prime.

Converse: If n is odd or n is 2 then n is prime.

Inverse: If n is not prime, then n is not odd or n is not 2.

Part (C) If 2 is a factor of n and 3 is a factor of n, then 6 is a factor of n.

Here p is "2 is a factor of n and 3 is a factor of n", and q is "6 is a factor of n".

Negation: 2 is a factor of n and 3 is a factor of n and 6 is not a factor of n.

Contrapositive: If 6 is not a factor of n then 2 is not a factor of n and 3 is not a factor of n.

Converse: If 6 is a factor of n then 2 is a factor of n and 3 is a factor of n.

Inverse: If 2 is not a factor of n and 3 is not a factor of n, then 6 is not a factor of n

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.