keida2002 keida2002
  • 12-09-2019
  • Mathematics
contestada

Which of the following is the solution to 9 | x + 4 | >= 54?

PLEASE HELP

Which of the following is the solution to 9 x 4 gt 54 PLEASE HELP class=

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sqdancefan
sqdancefan sqdancefan
  • 12-09-2019

Answer:

  your selection is correct

Step-by-step explanation:

You can divide by 9 to get ...

  | x+4 | ≥ 6

This resolves to two inequalities:

  • -6 ≥ x +4   ⇒   -10 ≥ x
  • x +4 ≥ 6   ⇒   x ≥ 2

These are disjoint intervals, so the solution set is the union of them:

  x ≤ -10 or 2 ≤ x

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