Final answer:
The statement is true as revolutionary ideals did not instantly result in broader equality, exemplified by continued restrictions in voting rights, particularly for women, despite the concept of equality being celebrated.
Step-by-step explanation:
The statement 'Following the revolutionary war, sentiments of equality increased while actual equality did not' is true. Although revolutionary ideals promoted the concept of equality and the belief in the natural rights of man, this did not immediately translate into widespread actual equality for various groups in American society. The Market Revolution indeed brought numerous social and economic changes to the United States, such as increasing industrialization and changing class structures.
However, several laws and practices during the Revolutionary Era, such as those pertaining to voting rights, reflected the limited nature of this equality. For instance, no state constitution at the time granted women the right to vote, which illustrates a clear discrepancy between the ideological aspirations of equality and the societal realities of the time.