if you water the seeds, then they will sprout. you water the seeds or they do not sprout. if you do not…
if you water the seeds, then they will sprout. you water the seeds or they do not sprout. if you do not water the seeds, then they will not sprout. you do not water the seeds or they will sprout. you water the seeds and they do not sprout. select the contrapositive of: if the electricity does not come back on, then i cant cook dinner. if i cant cook dinner, then the electricity does not come back on. if i can cook dinner, then the electricity does come back on. if the electricity does come back on, then i can cook dinner. the electricity does not come back on and i can cook dinner. select the negation of: all detergents are the same. no detergents are the same. some detergents are the same. some detergents are not the same. all detergents are not the same.
Answer
Brief Explanations:
- For a conditional statement "If p, then q", the contrapositive is "If not q, then not p". For "If you water the seeds, then they will sprout", p = "you water the seeds" and q = "they will sprout". The contrapositive is "If they do not sprout, then you did not water the seeds" which is equivalent to "You do not water the seeds or they will sprout" (using logical equivalence (p\rightarrow q\equiv\neg p\vee q)).
- For "If the electricity does not come back on, then I can't cook dinner", p = "the electricity does not come back on" and q = "I can't cook dinner". The contrapositive is "If I can cook dinner, then the electricity does come back on".
- The negation of a universal statement "All A are B" is "Some A are not B". So the negation of "All detergents are the same" is "Some detergents are not the same".
Answer:
- You do not water the seeds or they will sprout.
- If I can cook dinner, then the electricity does come back on.
- Some detergents are not the same.