The correct answer to this open question is the following.
It seems that the question is missing. What yo attached is a statement, nor a question. If it is a true or false question, the answer would be true.
It is true that Native Americans were forced to move west as the English colonies grew in size. The French and Indian war was fought between the French and the British because they were competing for the same lands.
The British tried to occupy the territories that were supposed to be for the French. Native American Indian tribes such as the Algonquin supported the French because they had good trade relationships with them. The issue was that the British colonists tried to expand their territories and settled in former Indian lands, just to exploit the many raw materials and natural resources to make a profit.
The French were not really interested in settling in one place or establish colonies. The French were only interested in making good profits from the fur trade.