Question 50548
The easiest way to deal with fractions is to get rid of them by multiplying the entire inequality by a common factor:
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1) -1 > or = 1/4x [Multiply each term by "4". This will get rid of the fraction]

4(-1 > = 1/4x)
(4)(-1)>=(4)(1/4)x  [Cancel wherever possible] 
-4>=x
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2) 1/2 > or = -1/6 -2/9x 
18(1/2 > or = -1/6 -2/9x)[Multiply each term by "18"]
(18)(1/2)>=(18)(-1/6) - (18)(2/9x) [Cancel wherever possible] 
9>=-3-4x [Solve for x]
9+3>=-3+3-4x
12>=-4x
12/-4>=-4x/4 [Switch the sign when multiplying or dividing by a negative #]
-3<=x
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3) 2/3x -3 < 1

3(2/3x -3 < 1)[Multiply each term by "3"]
(3)(2/3)x-(3)(3)<(3)(1)
2x-9<3[Solve for x]
2x-9+9<3+9
2x<12
2x/2<12/2
x<6