Question

Modul de 2x -3 supra 4 mai mic decat 1

Answer 1

|2×-3|/ 4 <1

3-2=1

-1/4

-0,25

Answer 2

Răspuns:

$\frac{ |2x - 3| }{4} < 1 = > |2x - 3| < 4 = > 2x - 3 < 4. \: \: \: 2x - 3 \geqslant 0. \: \: \: - (2x - 3) < 4. \: \: \: 2x - 3 < 0 = > x < \frac{7}{2} . \: \: x \geqslant \frac{3}{2} . \: \: x > - \frac{1}{2} . \: x < \frac{3}{2} = >$

x€[

$\frac{3}{2} . \frac{7}{2} ).$

X€

$( - \frac{1}{2} . \frac{3}{2} ) = >$

X€

$( - \frac{1}{2} . \frac{7}{2} )$