Question

How do you write the inequality and solve "the product of -5 and a number is greater than 35 or less than 10#?

Answer 1

`x<-7` or `x > -2`

Explanation:

Let `x` be "the number."

The product of `-5` and a number can be represented as `-5x`.

We know that `-5x>35\rightarrow x<-7`. (Don't forget to change the sign when you divide by a negative!)

We also know that `-5x<10\rightarrow x> -2`. (We flipped the sign again.)

So the solution is `x<-7` or `x> -2`.