Respuesta :

Hello, hope you are having a splendid day.

-6x+30<-18

First, move all the numbers to the right, using the opposite operation:

-6x<-18-30

-6x<-48

Divide both sides by -6:

x>8

Now, if we divide both sides by a negative variable, we change the inequlaity sign.

Hope it helps.

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Answer:

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

Step-by-step explanation:

[tex]\sf -6x\:+\:30\:<\:-18[/tex]

Subtract 30 from both sides:

  • [tex]\sf -6x+30-30<-18-30[/tex]
  • [tex]\sf -6x<-48[/tex]

Multiply both sides by -1 :

  • [tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex]
  • [tex]\sf 6x>48[/tex]

Divide both sides by 6:

  • [tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex]
  • [tex]\sf x>8[/tex]

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