The quotient of a number, x, and 3 is either less than 5 or more than 21. what are the solutions of this scenario?

The quotient of a number, x, and 3 is either less than 5 or more than 21. What are the solutions of this scenario? Show all your work for full credit.  

x/3 < 5 or x/3 > 21  

Manipulate each inequality separately.  

x/3 < 5  

3 * x/3 < 5 * 3

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.