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? mc026-1.jpg mc026-2.jpg mc026-3.jpg mc026-4.jpg

Answer 1

The answer is x>-5 i took the test this is the correct answer.

Answer 2

Let

x-------> the number

we know that

The expression " Two-fifths of one less than a number is less than three-fifths of one more than that number" represent the equation

$\frac{2}{5}(x-1) < \frac{3}{5}(x+1)$

Multiply by $5$ both sides

$2(x-1) < 3(x+1)$

$2x-2 < 3x+3$

$-3-2< 3x-2x$

$-5 < x$ --------> $x >-5$

The solution set is the interval -------> (-5,∞)   the number $-5$ is not included

therefore

the answer is

The solution set is the interval (-5,∞)