A number, x, added to #2/5# is greater than #2/3# less than two times the number. What is the range of possible values for the number?

Question

1073 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-14T12:33:34

#x<-4/15#

So, we know that:
#x+2/5>2/3+2x#

By putting like terms together, we get:

#x-x+2/5-2/3>2/3-2/3+2x-x#

#2/5-2/3>x#

#x<(2(3))/(5(3))-(2(5))/(3(5))#

#x<6/15-10/15#

#x<-4/15#