Final answer:
The student's question relates to creating and solving an inequality in which the maximum difference between 10 and nine times a number is 73. Solving the inequality, we find that the number must be greater than or equal to -7.
Step-by-step explanation:
The student has presented a mathematical problem that involves creating an equation based on the given conditions. We know that the difference between 10 and the product of a number, which we can call 'x', and 9 has a maximum value of 73. The equation is expressed as 10 - 9x ≤ 73, where '≤' denotes 'is less than or equal to' indicating that 73 is the maximum value.
To find the value of the number, we need to solve the inequality for 'x'. First, we subtract 10 from both sides, yielding -9x ≤ 63. Then, we divide both sides by -9, remembering to reverse the inequality because we are dividing by a negative, resulting in x ≥ -7.
This tells us that the original number must be greater than or equal to -7 to satisfy the condition set by the problem.