Question

Indique a soma de todos os Números Naturais que são solução da inequação: 3 ( x + 1 ) + 4 ( x - 2 ) - ( x - 5 ) ≤ 7x - 4 ( x - 3 ) *

Answer 1

3 ( x + 1 ) + 4 ( x - 2 ) - ( x - 5 ) ≤ 7x - 4 ( x - 3 )

$3\left(x+1\right)+4\left(x-2\right)-\left(x-5\right)\le \:7x-4\left(x-3\right)\\\\-4\left(x-3\right):\quad -4x+12\\\\6x\le \:7x-4x+12\\\\6x\le \:3x+12\\\\3\left(x+1\right)+4\left(x-2\right)-\left(x-5\right):\quad 6x\\\\\\6x\le \:3x+12\\\\6x-3x\le \:3x+12-3x\\\\3x\le \:12\\\\\frac{3x}{3}\le \frac{12}{3}\\\\x\le \:4$