marissaraymond marissaraymond

17-01-2019
Mathematics

contestada

Solve the inequality.

|3x + 6| < 12

–6 < x < 2

–21 < x < 3

–6 > x > 2

–2 < x < 2

Respuesta :

17-01-2019

[tex]|3x+6|<12\iff3x+6<12\ \wedge\ 3x+6>-12\qquad|\text{subtract 6 from both sides}\\\\3x<6\ \wedge\ 3x>-18\qquad\text{divide both sides by 3}\\\\\boxed{x<2\ \wedge\ x>-6\to\boxed{-6< x<2}}[/tex]

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