suhaniaggarwal
suhaniaggarwal suhaniaggarwal
  • 17-11-2021
  • Mathematics
contestada

4(x-3) < x+3, Where x ∈ W
Please help me​

Respuesta :

SalmonWorldTopper
SalmonWorldTopper SalmonWorldTopper
  • 17-11-2021

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]

[tex]\rm\longmapsto 4x-12<x+3[/tex]

[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]

[tex]\rm\longmapsto 3x-12<3[/tex]

[tex]\rm\longmapsto 3x-12+12<3+12[/tex]

[tex]\rm\longmapsto 3x<15[/tex]

[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]

[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]

[tex]\large\underline{\sf{Answer-}}[/tex]

Therefore:

[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]

Answer Link

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