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:

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

$2/5-2/3>x$

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

$x<6/15-10/15$

$x<-4/15$

A number, x, added to 2/52/5 is greater than 2/32/3 less than two times the number. What is the range of possible values for the number?