Is the conditional statement true? If not, find a counterexample. If a vegetable is green, then it is broccoli.
The conditional statement is not true. A counterexample would be if a vegetable is green, it does not necessarily mean that it is broccoli. There are other green vegetables such as spinach, cucumber, or green beans that are not broccoli.
The given conditional statement is: "If a vegetable is green, then it is broccoli."
To determine if the statement is true, we need to check if every green vegetable is indeed broccoli.
However, we know that there are other green vegetables besides broccoli, such as lettuce, cucumbers, peas, and beans. Therefore, the conditional statement is not true, and we can find a counterexample by considering any green vegetable that is not broccoli. For example, lettuce is a green vegetable that is not broccoli, thus serving as a counterexample to the statement.
To determine if the conditional statement "If a vegetable is green, then it is broccoli" is true, we need to examine whether every green vegetable is broccoli.
A conditional statement is only false if there is at least one instance where the hypothesis (green vegetable) is true, but the conclusion (broccoli) is false. In other words, the statement is false if we can find a counterexample, which is an example that does not satisfy the statement.
In this case, a counterexample would be a green vegetable that is not broccoli. For example, spinach is a green vegetable that is not broccoli. Therefore, the conditional statement "If a vegetable is green, then it is broccoli" is not true because there exist green vegetables that are not broccoli.