How do you solve "quotient of the sum of 3 and a number and 6 is less than -2" and graph the solution on a number line?

Question

8455 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-10T09:09:38

#x <-15#

A quotient is the answer to a division.
A sum is the answer to an addition.

Let's add the required phrasing to the the statement.

The quotient of (the sum of 3 and a number) and (6) is (less than -2)

#(3+x) div 6 < -2# which is easier shown as :

#(3+x)/6 < -2" "larr xx 6#

#3+x <-12#

#x < -12 -3#

#x <-15#

On a number line graph this is shown as an open circle on -15 and an arrow extending to the left.
Any value less then #-15# is part of the solution.