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?

A) x < - 5

B) x > - 5

C) x > - 1

D) x < - 1

Question

Mathematics

Gauge Cantrell

3 August, 09:33

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?

A) x < - 5

B) x > - 5

C) x > - 1

D) x < - 1

+4

Answers (1)

Know the Answer?

Brutus · Answer 1

If you would like to know what numbers are in the solution set of this problem, you can calculate this using the following steps:

the number ... n

2/5 * (n - 1) < 3/5 * (n + 1)

2/5 * n - 2/5 < 3/5 * n + 3/5

- 2/5 - 3/5 < 3/5 * n - 2/5 * n

- 5/5 < 1/5 * n

- 1 < 1/5 * n / * 5

- 5 < n

n > - 5

n = x

The correct result would be B) x > - 5.

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?A) x < - 5B) x > - 5C) x > - 1D) x < - 1

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?

A) x < - 5

B) x > - 5

C) x > - 1

D) x < - 1