If a conditional and its converse are always true, then the statement is a (1 point) Responses converse. converse. conditional. conditional. biconditional. biconditional. counterexample.
If a conditional and its converse are always true, then the statement is a biconditional.
Which shows a true conditional with a correctly identified hypothesis and conclusion? (1 point) Responses If it is raining, then the humidity level is 100% . Hypothesis: The humidity level is 100%. Conclusion: It is raining. If it is raining, then the humidity level is 100% . Hypothesis: The humidity level is 100%. Conclusion: It is raining. I hate humidity, except when it rains. Hypothesis: I hate humidity. Conclusion: It rains. I hate humidity, except when it rains. Hypothesis: I hate humidity. Conclusion: It rains. I hate humidity, except when it rains. Hypothesis: It rains. Conclusion: I hate humidity. I hate humidity, except when it rains. Hypothesis: It rains. Conclusion: I hate humidity. If it is raining, then the humidity level is 100%. Hypothesis: It is raining. Conclusion: The humidity level is 100%.
If it is raining, then the humidity level is 100%.
Hypothesis: It is raining.
Conclusion: The humidity level is 100%.
If a conditional statement and its converse are always true, then the statement is a biconditional.
To determine the correct answer, let's first understand the terms being used.
A conditional statement is an "if-then" statement in the form "If A, then B." The "if" part is known as the hypothesis (A), and the "then" part is known as the conclusion (B). For example, "If it is raining, then the ground is wet."
The converse of a conditional statement switches the hypothesis and conclusion, resulting in a new statement. Using the previous example, the converse would be: "If the ground is wet, then it is raining."
Now, if a conditional and its converse are always true, it means that both the original statement and its converse are true in every situation.
The correct answer to the question is a biconditional.
A biconditional statement combines a conditional statement and its converse into a single statement using the symbol "if and only if" (∧). It states that both the conditional and its converse must be true.
In the example mentioned earlier, the biconditional statement would be: "It is raining if and only if the ground is wet." This statement means that rain causes the ground to be wet, and if the ground is wet, it indicates that it has rained.
So, to summarize, if a conditional and its converse are always true, the statement is a biconditional.