Write a conditional statement for this Venn diagram.

(1 point)
Responses

Red is a color
Red is a color

It is red, if and only if it is a color.
It is red, if and only if it is a color.

If it is red, then is is a color.
If it is red, then is is a color.

All colors are red.
All colors are red.
Video Player

Question 2
Write a counterexample for the converse.(1 point)
Responses

Blue is a color.
Blue is a color.

Red is also a flavor of Gatorade.
Red is also a flavor of Gatorade.

Red is not a color.
Red is not a color.

There is no counterexample, because the converse is also true.
There is no counterexample, because the converse is also true.
Skip to navigation

1 answer

Question 1: Write a conditional statement for this Venn diagram.

The correct response here is:

If it is red, then it is a color.


Question 2: Write a counterexample for the converse.

To clarify, the converse of the statement "If it is red, then it is a color" is "If it is a color, then it is red."

A suitable counterexample would be:

Blue is a color.

This demonstrates that not all colors are red, thereby providing a counterexample to the converse.