Final answer:
The mathematical expression for the given problem is 49/x >= 7, which translates to the inequality x <= 7 once solved. This demonstrates an understanding of quotients and inequalities in basic algebra.
Step-by-step explanation:
The question pertains to an inequality involving the quotient of two numbers. The problem states that the quotient of forty-nine and a number is greater than or equal to seven. To translate this into a mathematical expression, we use 'x' to represent the unknown number. The inequality is therefore written as 49/x >= 7. To solve this inequality, we would typically multiply both sides by 'x' (assuming x is not zero and keeping in mind the rule that if we multiply or divide by a negative number, we must flip the inequality sign) and then divide both sides by 7 to isolate 'x' on one side.
In solving the inequality, we find that x cannot be zero (because division by zero is undefined) and must be positive for the inequality to hold true. If x were negative, the quotient would be negative and thus not greater than or equal to seven.
The final solution would deduce that x <= 7, given that forty-nine divided by any positive number less than or equal to seven would result in a quotient that is greater than or equal to seven. This concept is part of basic algebra, which is fundamental in mathematics and applicable in various real-world contexts.