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 se

Question

1 month ago

15

t of this problem?

2 answers:

Svet_ta [9.5K] · Answer 1 · 2026-02-17T09:57:45+03:00

6 0

Please refer to the attached image. I hope it clarifies your question! :-)

Leona [9.2K] · Answer 2 · 2026-02-17T09:56:20+03:00

Answer:

The solution set for the numbers in this problem is (-5, ∞).

Detailed explanation:

Assign the variable x to represent the number.

Two-fifths of one less than the number is represented as $=\frac{2}{5}(x-1)$ .

Three-fifths of one more than the number is expressed as $=\frac{3}{5}(x+1)$ .

The inequality states that two-fifths of one less than the number is less than three-fifths of one more than that number, which means

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

Therefore, the numbers satisfying the inequality range from -5 (not included) to infinity.