KnowledgeBoat Logo
|

Mathematics

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.

Linear Inequations

69 Likes

Answer

Let the positive integer = x
According to the problem,

5x6<4x5x4x<6x<65x - 6 \lt 4x \\[0.5em] \Rightarrow 5x - 4x \lt 6 \\[0.5em] \Rightarrow x \lt 6

∴ Solution set = { 1, 2, 3, 4, 5, 6}.

Answered By

25 Likes


Related Questions