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1/6x + 1/3 < 1/2x + 1/6
1/6x - 1/2x < 1/6 - 1/3
1-3/6x < 1-2/6
-2/6x < -1/6
x > -1/6 ÷ -2/6
x > 1/6 ÷ 2/6
x > 1/6 × 6/2
x > 6/12
x > 1/2