SOLUTION: 1. what is the solution set of |b-7|<6? 2. What is the absolutevalue inequality of |1-2w|<5?

Question 1005685: 1. what is the solution set of |b-7|<6?
2. What is the absolutevalue inequality of |1-2w|<5?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
|b-7|<6
b-7<6; b<13 one solution.
b-7 > -6
b>1, other solution.
check. Zero should not work and |-7| is not <6
5 should work
|-2|<6.
(1,13)
===========
|1-2w)<5
1-2w<5
-2w<4
w>-2, one solution.
1-2w>-5
-2w>-6
w<3, changing sign with dividing by a negative 2. Other solution.
solution set (-2,3)
check. Zero should work and |1|<5
-3 should not work and |7|<5 is not true.
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