2/3x + 2 < 1/2
2x/3 + 6/3 < 1/2
(2x + 6)/3 < 1/2
2x + 6 < 3/2
2x < 3/2 - 6
2x < 3/2 - 12/2
2x < -9/2
x < -9/2 / 2
x < -9/2 * 1/2
x < -9/4
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2/3x + 2 < 1/2
2x/3 + 6/3 < 1/2
(2x + 6)/3 < 1/2
2x + 6 < 3/2
2x < 3/2 - 6
2x < 3/2 - 12/2
2x < -9/2
x < -9/2 / 2
x < -9/2 * 1/2
x < -9/4