Read the statement shown below.
"If Bob is swimming, then Henry is skating."

Which of these is logically equivalent to the above statement? (5 points)

Question 10 options:

1) If Henry is not skating, then Bob is not swimming.

2) If Henry is skating, then Bob is not swimming.

3) If Bob is not swimming, then Henry is skating.

4) If Bob is swimming, then Henry is not skating.

Question

Read the statement shown below.
"If Bob is swimming, then Henry is skating."

Which of these is logically equivalent to the above statement? (5 points)

Question 10 options:
	
1) 	If Henry is not skating, then Bob is not swimming.
	
2) 	If Henry is skating, then Bob is not swimming.
	
3) 	If Bob is not swimming, then Henry is skating.
	
4) 	If Bob is swimming, then Henry is not skating.

godlovesme · Answer

@ssmyre4824  hey :) need help?

directrix · Answer

Change the given statement to symbolic logic.

p: Bob is swimming,
q:  Henry is skating.

That is p-->q  Read as: p implies q

directrix · Answer

The logical equivalent to p-->q is the contrapositive of p-->q.

That is this:  ~q ---> ~p

directrix · Answer

Pick and object that has this meaning:

~q: Henry is  NOTskating.
~p: Bob is NOT swimming,

~q ---> ~p

If Henry is not skating, then ?

@ssmyre4824