Question

Resolva as seguintes inequaçoes:
A) 5x - 3 > 2x - 5
B) 6x - 1 (menor ou igual) 3x + 3 - x
C) (três quartos)x - 3 < (dois quintos) - x - (três vinte avos)

Answer 1

a)
5x - 3 > 2x - 5

3x > 2

x > $\frac{2}{3}$

b)

6x -1 ≤ 3x + 3 - x

6x -1 ≤ 2x + 3

4x ≤ 2 

x ≤ $\frac{1}{2}$

c)

$\frac{3x}{4} -3 \ \textless \ \frac{2}{5} - x - \frac{3}{20}$

$\frac{3x}{4} +x \ \textless \ \frac{2}{5} - \frac{3}{20} +3$

$\frac{3x +4x}{4} \ \textless \ \frac{8-3+60}{20}$

$\frac{7x}{4} \ \textless \ \frac{65}{20}$

7x * 20 < 65 * 4

140x < 260

x < $\frac{260}{40}$

x< $\frac{13}{2}$