Question

3|x+2|-2x<2(2-x)+5

Dau coroana!!!!!!!

Answer 1

Explicație pas cu pas:

$3|x+2|-2x<2(2-x)+5$

$3|x + 2| - 2x < 4 - 2x + 5$

$3|x + 2| < 9 - 2x + 2x$

$3|x + 2| < 9$

$|x + 2| < 3$

$- 3 < x + 2 < 3$

$- 5 < x < 1$

$\implies x \in \Big(-5 ; 1\Big)$

Answer 2

$3 \times |x + 2| - 2x < 4 - 2x + 5$

$3 \times |x + 2| < 4 + 5$

$3 \times |x + 2| < 9$

$3(x + 2) < 9 = > x + 2 \geqslant 0$

$3 \times ( - (x + 2)) < 9 = > x + 2 < 0$

$x < 1 = > x \geqslant - 2$

$x > - 5 = > x < - 2$

$x \: = > \: ( - 2 \: si \: 1)$

$x \: = > ( - 5 \: si \: - 2)$

$x = > ( - 5 \: si \: - 1)$

$\\ succes$