1. Any city that has excellent art museums is a tourist destination. Therefore, Paris is a tourist destination, because it has excellent art museums.

2. Miranda Lambert sings what she wants. Hence, since Miranda sings country songs, it follows that she must want to sing country songs.

3. Not all interest expenses are tax deductible. Home-mortgage payments are interest expenses. Thus, they are not tax deductible.

4. If a marriage is based on a meshing of neuroses, it allows little room for growth. If a marriage allows little room for growth, it is bound to fail. Therefore, if a marriage is based on a meshing of neuroses, it is bound to fail.

5. TV viewers cannot receive scrambled signals unless they have a decoder. Whoever receives digital satellite signals receives scrambled signals. Therefore, whoever receives digital satellite signals has a decoder.

Translate the following arguments into standard-form categorical syllogisms, then use Venn diagrams or the rules for syllogisms to determine whether each is valid or invalid. See Section 4.7 for help with the translation.