Final answer:
The American justice system strives for fair law interpretation and enforcement, but faces challenges in achieving true 'establish justice' due to historical and current instances of inequality, particularly regarding racial bias and inconsistent state laws.
Step-by-step explanation:
The phrase 'establish justice' reflects the fundamental objective of the American judicial system, which is to interpret and enforce laws fairly. However, there are instances where injustice persists within the U.S. court system, both historically and in the present day. Historically, cases like Chisholm v. Georgia and the passage of the Eleventh Amendment showcase early challenges in achieving consistent judicial interpretation across states. In contemporary times, the justice system is questioned for inequitable law enforcement and potential biased treatment towards minority groups, despite a diverse and evolving judiciary. Issues such as racial bias, uneven application of laws, and varying state legal systems contribute to a 'justice gap' where not all individuals have equal access to justice or due process. Strategies for improving outcomes and reducing this gap are a continuing challenge.