Two fifths of one less than a number is less than three fifths of one more than that number. what numbers are in solution set of this problema. x-5c. x>-1d. x<-1

The best way to solve this is to do this step by step.

Let x = the number

Identify the word problem of the inequality.

Two fifths of one less than a number

= 2/5 (x-1)

Three fifths of one more than that number

= 3/5 (x+1)

Solve the inequality

2/5 (x-1) < 3/5 (x+1)

2x/5 - 2/5 < 3x/5 + 3/5

-2/5 - 3/5 < 3x/5 - 2x/5

-1< x/5

-5 < x

or

x > - 5

The final solution set is B. x > - 5