The statement p → q represents "if a number is doubled, the result is even.” which represents the inverse? a)~p → ~q where p = a number is doubled and q = the result is even b)q → p where p = a number is doubled and q = the result is even c)~p → ~q where p = the result is even and q = a number is doubled d)q → p where p = the result is even and q = a number is doubled

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Step-by-step explanation:

Option: A is the correct answer.

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

We know that for any conditional statement of the type:

       If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

The inverse statement is given by:

 If not p then not q

i.e. it is the negation of both the statements.

Hence, the inverse of the statement:

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

                is:

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

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point