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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