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?

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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#