Question

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question 1: form a chain connecting dentists to patients.
pieces of knowledge

• x - ray machines
• dentists
• fillings
• grams of gold
• hygienists
• lead aprons
• patients

links

• x - ray machines -- lead aprons
• dentists -- hygienists
• fillings -- grams of gold
• hygienists -- patients

question 2: form a chain connecting cases of pickles to pickles:
pieces of knowledge

• benches
• blankets
• cases of pickles

links

• benches -- blankets
• cases of pickles -- jars of pickles
• mosquitoes -- tubes of sunscreen

Explanation:

Step1: Link dentists to hygienists

Select dentists -- hygienists

Step2: Link hygienists to patients

Select hygienists -- patients

Step3: Link cases to jars of pickles

Select cases of pickles -- jars of pickles
(Note: The second chain is incomplete in provided links, but the available valid link for the start is this one)

Answer:

1. Dentists chain: dentists -- hygienists → hygienists -- patients
2. Pickles chain: cases of pickles -- jars of pickles (no further valid link provided to reach pickles directly)