Write a conditional statement for this Venn diagram.

Question

(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.
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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.

Answer 1

To construct a conditional statement based on the Venn diagram you've described, we first need to define the relationships between "red" and "color."

Based on the information given, the correct conditional statement is:

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

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For the second part, regarding the counterexample for the converse of the original conditional statement ("If it is red, then it is a color"), we need to consider the converse, which would be:

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

To write a counterexample for this converse statement, we can select a color that is not red.

The appropriate counterexample could be:

"Blue is a color."

This statement refutes the converse because "blue" is a color but is not red.