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3/4x-1 < 1/2x+2
3x/4 - 1 < 1x/2 + 2
3x/4 - 1 < x/2 + 2
(- 1 * 4 + 3x)/4 < (2 * 2 + x)/2
(- 4 + 3x)/4 < (4 + x)/2
2 (- 4 + 3x) < 4 (4 + x)
- 8 + 6x < 16 + 4x
6x - 4x < 16 + 8
2x < 24
x < 24/2
x < 12
Respuesta. (- ∞, 12)