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||x+4|-7|<5 how to solve this?
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3 votes
||x+4|-7|<5 how to solve this?

User Bori
by
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1 Answer

6 votes

Answer:
(-16, -6) \cup (-2, 8)

Explanation:


||x+4|-7| < 5\\\\-5 < |x+4|-7 < 5\\\\2 < |x+4| < 12\\\\1. -2 < x+4 < 2 \implies -6 < x < -2\\\\2. -12 < x+4 < 12 \implies -16 < x < 8\\\\\therefore (-16, -6) \cup (-2, 8)

User Matthew Turland
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