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?
x<-5
x>-5
x>-1
x<-l

Answer 1

x > -5.

Explanation:

Answer 2

x > -5

Explanation:

2/5 (x − 1) < 3/5 (x + 1)

Multiply both sides by 5:

2 (x − 1) < 3 (x + 1)

Distribute:

2x − 2 < 3x + 3

Subtract 2x and 3 from both sides:

-5 < x

Therefore, x > -5.