Question

Write a conditional statement for this Venn diagram.

Choose the correct answers carefully

(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.
There is no counterexample, because the converse is also true.
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Answer 1

To help you choose the correct responses based on the conditional statements and the converse, I'll break down the options you've provided.

### Question 1
The options for the conditional statement regarding the Venn diagram seem to focus on the relationship between red and color:

1. **Red is a color.**
2. **It is red, if and only if it is a color.**
3. **If it is red, then it is a color.**
4. **All colors are red.**

The best choice for a conditional statement is:
**- If it is red, then it is a color.**

This implies that being red is a sufficient condition for being a color, which aligns with common understanding.

### Question 2
For a counterexample of the converse, we first establish the original conditional statement, which can be stated as:
- **If something is red, then it is a color.**

The converse of this statement is:
- **If something is a color, then it is red.**

To find a counterexample for the converse, we need to identify a color that is not red.

The best option for a counterexample from your responses is:
**- Blue is a color.**

This is because, while blue is a color, it is not red, thereby demonstrating that the converse is not true.

### Summary:
- Question 1: **If it is red, then it is a color.**
- Question 2: **Blue is a color.**