Respuesta :

Answer:

Step-by-step explanation:

Let's use the variable x to represent the unknown number.  

Also, the word, "product", indicates multiplication.  

In this problem, the product of a number and -4 would be represented as -4 x

The words, "is at most", would be represented as:  <

Then to create the inequality, subtract 15:

-4 x - 15 <  32

Now solve the inequality using inverse operations.  NOTE - Be sure to reverse the direction of the inequality symbol when multiplying or dividing by a negative number.

4 x - 15 < 32

-4 x - 15  + 15 < 32 + 15

-4 x < 47

-4 x / -4 >  47/-4

x  >  -47/4    

x  >  -11.75

Hope this helped!