Question

Rezolvați în R inecuația:
$2x + 7 + \frac{3x - 5}{1} >2 \frac{3}{4} - \frac{x - 6}{2}$

Answer 1

$2x + 7 + \frac{3x - 5}{1} > 2 \frac{3}{4} - \frac{x - 6}{2}$

$2x + 7 + 3x - 5 > \frac{2 \times 4 + 3}{4} - \frac{x - 6}{2}$

$5x + 2 > \frac{11}{4} - \frac{x - 6}{2} \: | \times 8$

$40x + 16 > 2 \times 11 - 4(x - 6)$

$40x + 16 > 22 - 4x + 24$

$40x + 4x > 22 + 24 - 16$

$44x > 46 - 16$

$44x > 30 \: | \div 2$

$22x > 15$

$x > \frac{15}{22}$

$x \: \in \: ( \frac{15}{22} , + \infty )$