Question

Read the statement shown below.
If Johan completes his project, then he will visit the museum.
Which of these is logically equivalent to the given statement?

Answer 1

Select one:
a. If Johan visits the museum, then he did not complete his project.
b. If Johan completes his project, then he will not visit the museum.
c. If Johan did not visit the museum, then he did not complete his project.
d. If Johan did not complete his project, then he will visit the museum.

Answer 2

can u help me please

Answer 3

The statement logically equivalent to "If Johan completes his project, then he will visit the museum" is the contrapositive.

The contrapositive of p -->q is ~q --> ~p.

Answer 4

So, if Johan does not visit the museum, then what? Which option? @Edge

Answer 5

@Directrix is it C

Answer 6

Yes. --> c. If Johan did not visit the museum, then he did not complete his project.

Answer 7

^^^ That is the contrapositive.

Answer 8

thnx for the help I have one more like this

Answer 9

Look at the statement below.
"All squares have four sides."
Which of these is a logically equivalent statement?

Answer 10

Select one:
a. If a figure is not a square, it does not have four sides.
b. All figures with four sides are squares.
c. A figure is a square if it has four sides.
d. If a figure does not have four sides, it is not a square.

Answer 11

I really don't get this one

Answer 12

"All squares have four sides."

means If a figure is a square, then it has 4 sides.

The contrapositive (logically equivalent) is ~q --> ~p

So, If a figure does not have 4 sides, then ......

Answer 13

Its D obviously

Answer 14

Correct.

Answer 15

thnx

Answer 16

You are welcome.

Answer 17

do I click best respose