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: [tex]q\rightarrow p[/tex]
If I replace my battery, my cellphone will not charge.
To write the inverse, we negate the hypothesis and the conclusion: [tex]\neg p\rightarrow \neg q[/tex]
" 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: [tex]\neg q\rightarrow \neg p[/tex]
If I will not replace my battery, my cellphone will charge.
