Help with Inequalities Involving Absolute Value Domain Very

Help with Inequalities Involving Absolute Value? Domain? Very confused!
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So my Professor is going over it, and I\'m very confused.

Please help explain how to do these/why that\'s the answer.
Solve the inequalities:
|x| < 1 Answer: -1 < x < 1

|x+2| < -10 Answer: 0 (I think that\'s what he put down)

|2x+1| > -5 Answer: All real #\'s

|x-5| < 2 Answer: 3< x < 7

And I don\'t understand why the domain of x in ?5 - 2x Answer: 5 - 2x >/ (means more than or equal to) 0

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I\'m having a real hard time, if you can explain these supposedly easy examples. This would totally help! Thanks!

Solution

case 1:x+2=10 =>x=8 case2:x+2=-10 =>x=-12 so -12
Help with Inequalities Involving Absolute Value? Domain? Very confused! --- So my Professor is going over it, and I\'m very confused. Please help explain how to

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