Question

Rezolvaţi inecuaţia 7 x -11 ≤ 4 x + 11 , x ∈ Z

Answer 1

$7x-11 \leq 4x+11 \\ 7x-4x \leq 11+11 \\ 3x \leq 22 \\ x \leq \frac{22}{3}$
$x \leq 7,(3)$
$x$ ∈ $\left \{1;2;3;4;5;6;7 \left \}$

Answer 2

7x-11≤4x+11
⇒3x≤22
⇒x≤22/3=7,[3];⇒x∈Z;
⇒x=[7,6,5,4,3,2,1,........];