Final answer:
The given statements are translated into the inequalities n < 15 and y ≥ 7, representing 'The quotient of n and 3 is less than 5' and '10 more than y is greater than or equal to 17', respectively.
Step-by-step explanation:
To represent the statements mathematically, you would use inequality symbols to express the relationships between the numbers and variables. The first statement, "The quotient of n and 3 is less than 5," can be expressed as the inequality n / 3 < 5. To solve for n, you would multiply both sides by 3 to obtain n < 15.
The second statement, "10 more than y is greater than or equal to 17," translates to the inequality y + 10 ≥ 17. To find the value of y, subtract 10 from both sides, resulting in y ≥ 7.
Together, the pair of inequalities that represent the given statements are: