SOLUTION: i need help on absolute values please. this is what i have tried so far on my problems: (1/2)|2w-1|-3>1 i added 3 to the 1 to get 4 then i multiplied one have by its reciprocal to

Question 805756: i need help on absolute values please. this is what i have tried so far on my problems: (1/2)|2w-1|-3>1
i added 3 to the 1 to get 4 then i multiplied one have by its reciprocal to its self and 4 to get 8. i added one to the 8 to get 9 divided by two.
The second problem is : (3/4)|8t-12|=6(t-1) i didn't know what to do on this one but i did try the first one.

Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(1/2)|2w-1|-3>1
(1/2)|2w-1|>1+3
multiply by 2
|2w-1| >4*2
|2w-1|>8
-8<(2w-1)>8
add1
-7<2w>9
/2

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
(1/2)|2w-1|-3>1

Handle the absolute value function as a variable. Solve for it:

Solve based on each of the two conditions:

The argument is positive or zero, .

The argument may be negative, .
.

Next step requires care;

Combine the two results to complete the answer.
OR .
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