Question

The statement p - q represents "If a number is doubled, the result is even."

Which represents the inverse?
O
-p - ~q where p = a number is doubled and q = the result is even
q - p where p = a number is doubled and q = the result is even
-p -q where p = the result is even and q = a number is doubled
q - p where p = the result is even and q = a number is doubled
o​

Answer 1

the correct answer is a.

~p → ~q where p = a number is doubled and q = the result is even

Explanation:

the statements p must come first and its right on edge

Answer 2

~p → ~q where p = a number is doubled and q = the result is even

Explanation:

we know that

The inverse of a conditional statement is when both the hypothesis and conclusion are negated; the “If” part or p is negated and the “then” part or q is negated.

p → q conditional statement

The inverse is

~p → ~q

in this problem we have

"If a number is doubled, the result is even."

p=a number is doubled

q=the result is even

the inverse is

"If a number is not doubled, the result is not even."