81752518 81752518
  • 25-07-2022
  • Mathematics
contestada

solve the inequaility - x/4 <2

Respuesta :

frozenmelody18
frozenmelody18 frozenmelody18
  • 25-07-2022

❄ Hi there,

let us start by considering this: What should we do to get x all by itself?

Since it's

  • divided by 4
  • multiplied by -1

we should

  • multiply (both sides) by 4
  • divide (both sides) by -1

So, let's start.

[tex]\sf{\dfrac{-x}{4}\times4 < 2\times4}}[/tex]

[tex]\sf{-x < -8}[/tex]

[tex]\sf{x > 8}[/tex]

When we divide both sides of an inequality by a negative number, we do "the inequality flip" and flip the inequality sign.

❄

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