Question

Find positive integers which are such that if 6 is subtracted from five times the integer then the resulting number cannot be greater than four times the integer.

Answer 1

Let the integer be x.

According to the given conditions,

⇒ 5x - 6 < 4x

⇒ 5x - 4x < 6

⇒ x < 6

Since x is positive, x can only have the values 1, 2, 3, 4, 5.

Solution set = {x : x < 6} = { 1, 2, 3, 4, 5}.