Question

Sa se rezolve inecuatia x+2 supra 2x-1 <2

Answer 1

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

$x + 2 < 2(2x - 1)$

$x + 2 < 4x - 2$

$x - 4x < - 2 - 2$

$- 3x < - 4 \: | \times ( - 1)$

$3x > 4$

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

$x \: \in \: ( \frac{4}{3} , + \infty )$

Answer 2

( x + 2 ) / ( 2x - 1 ) < 2 aducem la acelasi numitor :

=> x + 2 < 2 ( 2x - 1 )

x + 2 < 4x - 2

x - 4x < - 2 - 2

- 3x < -4 l × ( - 1 )

3x > 4

x > 4 / 3

x ∈ { 5 / 3 ; 6 / 3 ..... }