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Answered

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x< -6 __________________
ivycoveredwalls

Answer:

Step-by-step explanation:

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

To "undo" the division, multiply both sides of the inequality by 3.

[tex]6<-x[/tex]

To find  x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).

[tex]-6>x[/tex]

Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.

[tex]x<-6[/tex]

This isn't some kind of magic.  If -6 is bigger than  x,  then x  is smaller than -6.

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