Question

The statement p - q represents "If a number is doubled, the result is even."Which represents the inverse?- - -q where p= a number is doubled and q = the result is evenO q - p where p = a number is doubled and q = the result is evenap - ~q where p = the result is even and q= a number is doubledO 9 - p where p = the result is even and q= a number is doubled

Answer 1

The inverse of the statement p - q can be written as ~p - ~q.

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

$p\Rightarrow q$

The above translate to "if p then q"

p = a number is doubled

q = the result is even

This means the inverse would be;

$\urcorner p\Rightarrow\urcorner q$

The correct answer is; ~p → ~q where p = a number is doubled and q = the result is even

Option A