Question

Write the converse, inverse, and contrapositive of the conditional statement " If my cellphone will not charge, I will replace the battery "

Answer 1

Answer:

See explanation

Step-by-step explanation:

The given statement is " If my cellphone will not charge, I will replace the battery "

The hypothesis is

p: If my cell phone will not charge

The conclusion is

q: I will replace the battery

To write the converse, we switch the hypothesis and the conclusion: $q\rightarrow p$

If I replace my battery, my cellphone will not charge.

To write the inverse, we negate the hypothesis and the conclusion: $\neg p\rightarrow \neg q$

" If my cellphone will charge, I will not replace the battery "

The contrapositive is the negation of the the hypothesis and the and the conclusion after we switch them:  $\neg q\rightarrow \neg p$

If I will not replace my battery, my cellphone will charge.