Verified Answer :

product means multiply
8x > = 25

quotient means divide
x/12 < = 6

Answer:

\(8x \geq 25\)

\(\frac{x}{12} \leq 6\)

Step-by-step explanation:

1. The product of a number and 8 is at least 25.

Let the unknown number is x

The product of a number x  and 8 is 8x

8x is at least 25 so the inequality becomes  \(8x \geq 25\)

2.The quotient of a number and 12 is no more than 6.

Let the unknown number is x

The quotient of a number x  and 12 is \(\frac{x}{12}\)

\(\frac{x}{12}\) is no more than 6

\(\frac{x}{12} \leq 6\)