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

1 Answer
Dec 28, 2017

Answer:

#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#.