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absolute value inequalities what does this mean?? absolute - value ineq…

Question

absolute value inequalities
what does this mean?? absolute - value inequalities are actually compound inequalities.
solving absolute value inequalities: to solve absolute value inequalities, use

  1. |x|>4
  2. |x|<7
  3. |x - 1|>6
  4. |x + 2|≤7

x - 11>61

  1. |3x|>12

Explanation:

Answer:

(1) \((-\infty,-4)\cup(4,\infty)\)
(2) \((-7,7)\)
(3) \((-\infty,-5)\cup(7,\infty)\)
(4) \([-9,5]\)
(5) \((-\infty,-4)\cup(4,\infty)\)