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

Answer:

  B.  x > -5

Step-by-step explanation:

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

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

This matches choice B: x > -5.