fifteen subtracted from the product of a number and -4 is at most 32

Answer 1

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

All numbers greater than or equal to -11.75 would be solutions for this problem.