Question 92422
1>(1/2)|6-x|-3/4

Add 3/4 to both sides to get:
7/4 > (1/2)|6-x|

Multiply both sides by 2 to get:
7/2 > |6-x|

Interpret the absolute value:

-(7/2) < 6-x < (7/2)

Multiply thru by -1 to get:
-(7/2) < x-6 < (7/2)

Add 6 along the line to get:
5/2 < x < 19/2

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Cheers,
Stan H.