Let's assume that EACH of the two claims below are TRUE:

$.$

$1.$ John, your patient, does not have thyroid disease only if the John's TSH and T$4$ tests are both normal.

$2.$ John's TSH and T$4$ tests are both normal.

$.$

Based on what you've learned about valid and invalid conditional arguments, which of the following claims is guaranteed to be true assuming that both of the claims above are true?

$($Select all correct answers.$)$

$.$

Let's assume that EACH of the two claims below are TRUE:

$.$

$1.$ John, your patient, does not have thyroid disease only if the John's TSH and T$4$ tests are both normal.

$2.$ John's TSH and T$4$ tests are both normal.

$.$

Based on what you've learned about valid and invalid conditional arguments, which of the following claims is guaranteed to be true assuming that both of the claims above are true?

$($Select all correct answers.$)$

$.$

John does not have thyroid disease.

John has thyroid disease.

If and only if it is the case that the John's TSH and T$4$ tests are both normal is it the case that John, your patient, does not have thyroid disease.

None of the above.