Statements: All green are blue. All blue are white.Conclusions: Some b...
Statements:
- All green are blue.
- All blue are white.
Conclusions:
- Some blue are green.
- Some white are green.
- Some green are not white.
- All white are blue.
Explanation:
To determine the validity of the conclusions, we must first understand the given statements. The first statement indicates that all things that are green are also blue. The second statement indicates that all things that are blue are also white. From these statements, we can conclude that all things that are green must also be white, because if they are blue and all blue are white, then they must also be white.
Now let's examine the conclusions:
1. Some blue are green: This conclusion is valid because the first statement indicates that all green are blue, which means that some blue must also be green.
2. Some white are green: This conclusion is not valid because the given statements do not provide any information about the relationship between white and green.
3. Some green are not white: This conclusion is not valid because the first statement indicates that all green are blue, and the second statement indicates that all blue are white. Therefore, all green must also be white.
4. All white are blue: This conclusion is not valid because the given statements indicate that all blue are white, but they do not provide any information about the relationship between white and other colors.
Therefore, the only valid conclusion is that some blue are green. Option A is the correct answer.