Question

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem

A.x<-5
B.x>-5
C.x>-1
D.x<-1

Answer 1

B. x > -5

Explanation:

It seems you have a number x such that ...

`(2)/(5)(x-1)<(3)/(5)(x+1)\\\\2x-2<3x+3\qquad\text{multiply by 5, eliminate parentheses}\\\\-5<x\qquad\text{subtract $2x+3$}`

This matches choice B: x > -5.