Question

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

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

Answer 1

product means multiply
8x > = 25

quotient means divide
x/12 < = 6

Answer 2

`8x \geq 25`

`(x)/(12) \leq 6`

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
`(x)/(12)`

`(x)/(12)` is no more than 6

`(x)/(12) \leq 6`