Answer:
x > -5
Step-by-step explanation:
Two-fifths of one less than a number is less than three-fifths of one more than that number.
x - 1
Two-fifths of one less than a number is less than three-fifths of one more than that number.
(2/5)(x - 1)
Two-fifths of one less than a number is less than three-fifths of one more than that number.
(2/5)(x - 1) <
Two-fifths of one less than a number is less than three-fifths of one more than that number.
(2/5)(x - 1) < (x + 1)
Two-fifths of one less than a number is less than three-fifths of one more than that number.
(2/5)(x - 1) < (3/5)(x + 1)
Multiply both sides by 5.
2(x - 1) < 3(x + 1)
Distribute on both sides.
2x - 2 < 3x + 3
Subtract 3x from both sides.
-x - 2 < 3
Add 2 to both sides.
-x < 5
Divide both sides by -1.
x > - 5
