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

3 months ago

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2 answers:

Svet_ta [12.7K] · Answer 1 · 2026-02-17T09:57:45+03:00

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Leona [12.6K] · 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.