summersstarra
summersstarra summersstarra
  • 19-01-2020
  • Mathematics
contestada

-3x>6
What is the solution set?

Respuesta :

danielmaduroh
danielmaduroh danielmaduroh
  • 25-01-2020

[tex]\boxed{x<-2}[/tex]

Explanation:

Here we have the following inequality:

[tex]-3x>6[/tex]

So divide both sides by -3:

[tex]\frac{-3x}{-3}<\frac{6}{-3} \\ \\ x<-2[/tex]

When multiplying or dividing an inequality by a negative number, the direction of the inequality changes. That's the reason why we changed the sign from > to <. Finally, the solution set is:

[tex]\boxed{x<-2}[/tex]

Learn more:

Inequalities: https://brainly.com/question/14461691#

#LearnWithBrainly

Answer Link

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