Question

Rezolvați în Z inecuațiile:j) 4x-3<8; k) 4-×/2<1/4 l) 2-x/3-1/2>x/4​

Answer 1

$j) 4x-3<8$

$4x < 8 + 3$

$4x < 11$

$x < \frac{11}{4}$

$k) 4- \frac{x}{2} < \frac{1}{4}$

$16 - 2x < 1$

$- 2x < 1 - 16$

$- 2x < - 15$

$x > \frac{15}{2}$

$l) 2- \frac{x}{3}- \frac{1}{2}> \frac{x}{4}$

$\frac{3}{2} - \frac{x}{3} > \frac{x}{4}$

$18 - 4x > 3x$

$- 4x - 3x > - 18$

$- 7x > - 18$

$x < \frac{18}{7}$

Answer 2

Explicație pas cu pas:

1.

$4 x - 3 < 8$

$4x < 8 + 3$

$4x < 11$

$x < \frac{11}{4}$

$x aprtine( - \infty . \frac{11}{4} )$

2.

$4 - \frac{x}{2} < \frac{1}{4}$

$16 - 2x < 1$

$- 2x < 1 - 16$

$- 2x < - 15$

$x > \frac{15}{2}$

$xapartime( \frac{15}{2} . + \infty )$

3.

$2 - \frac{x}{3} - \frac{1}{2} > \frac{x}{4}$

$\frac{3}{2} - \frac{x}{3} > \frac{x}{4}$

$18 - 4x > 3x$

$- 4x - 3x > - 18$

$- 7x > - 18$

$x < \frac{18}{7}$

$xapartine( - \infty . \frac{18}{7} )$