elizgenovese elizgenovese
  • 01-05-2020
  • Mathematics
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An inequality is shown: -2x + 12 < 18 What is the solution to the inequality?

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09pqr4sT
09pqr4sT 09pqr4sT
  • 01-09-2020

Answer:

[tex]\Huge \boxed{x > -3 }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]-2x + 12 < 18[/tex]

Subtracting 12 from both sides:

[tex]-2x + 12 -12< 18 -12[/tex]

[tex]-2x < 6[/tex]

Dividing both sides by -2 (flipping the sign):

[tex]\displaystyle \frac{-2x}{-2} > \frac{6}{-2}[/tex]

[tex]x>-3[/tex]

[tex]\rule[225]{225}{2}[/tex]

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