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 (2x)/(2)\geq (9)/(2)`

`\rm\longmapsto x\geq 4(1)/(2), x\in\mathbb{I}`

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

Therefore:

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