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Answer:
or
Step-by-step explanation:
<u><em>Verify the solution of each case</em></u>
case 1) we have
Divide the compound inequality into two inequalities
---> solution is the interval (-∞,4]
---> solution is the interval [-4,∞)
The solution of the compound inequality is
[-4,∞) ∩ (-∞,4] ----> [-4,4]
case 2) we have
Divide the compound inequality into two inequalities
---> solution is the interval (-∞,-1]
---> solution is the interval [-2,∞)
The solution of the compound inequality is
[-2,∞) ∩ (-∞,-1] ----> [-2,-1]
case 3) we have
---> solution is the interval (-∞,-1]
or
---> solution is the interval [0,∞)
The solution of the compound inequality is ----> (-∞,-1] ∪ [0,∞)
case 4) we have
---> solution is the interval (-∞,3]
or
---> solution is the interval [-1,∞)
The solution of the compound inequality is
(-∞,3] ∪ [-1,∞) ---->(-∞,∞)
