Final answer:
The inequality representing 'seven is at most the quotient of a number d and −5' is written mathematically as d / (-5) ≤ 7.
Step-by-step explanation:
The phrase 'seven is at most the quotient of a number d and −5' can be translated to an inequality. 'At most' means the value should be less than or equal to. The quotient of d and −5 is d divided by −5, so the inequality we are looking for expresses that this quotient is less than or equal to seven. In mathematical terms, the inequality is d / (-5) ≤ 7.