Question

3(2x - 1) ≥ 2(2x + 3), where x ∈ I​

Answer 1

$\large\underline{\sf{Solution-}}$

Given:

$\rm 3(2x-1)\geq2(2x+3), x\in\mathbb{I}$

$\rm\longmapsto 6x-3\geq 4x+6$

$\rm\longmapsto 6x-3-4x\geq 4x+6-4x$

$\rm\longmapsto 2x-3\geq 6$

$\rm\longmapsto 2x-3+3\geq 6+3$

$\rm\longmapsto 2x\geq 9$

$\rm\longmapsto \dfrac{2x}{2}\geq \dfrac{9}{2}$

$\rm\longmapsto x\geq 4\dfrac{1}{2}, x\in\mathbb{I}$

$\large\underline{\sf{Answer-}}$

Therefore:

$\rm x=\{5,6,7,8,...\infty\}$