Question

3x-1/4 + 2x-5/3 < 7x-11/12 +3/2

Answer 1

$\frac{3x - 1}{4} + \frac{2x - 5}{3} < \frac{7x - 11}{12} + \frac{3}{2} \: | \times 12$

$3(3x - 1) + 4(2x - 5) < 7x - 11 + 6 \times 3$

$9x - 3 + 8x - 20 < 7x - 11 + 18$

$9x + 8x - 7x < - 11 + 18 + 3 + 20$

$10x < 30 \: | \div 10$

$x < 3$

$x \: \in \: ( - \infty ,3)$