Question

1-)resolva as inequaçoes abaixo? A) 3x-2>2x+4
B) 4-3x>+6
C) 2x9<5x-3
D)7x+4-5x<20

Answer 1

3x - 2 > 2x + 4
3x - 2x > 4 + 2 
x > 6

4 - 3x > 6
- 3x > 6 - 4
- 3x > 2
3x < - 2
x < - 2/3

7x + 4 - 5x < 20
2x < 20 - 4
2x < 16
x < 16/2
x < 8

c) ?????

Answer 2

$A)~~3x-2\ \textgreater \ 2x+4\to\\\\ 3x-2x\ \textgreater \ 4+2\to\\\\x\ \textgreater \ 6\\\\\\ \large\boxed{S = \{x \epsilon \mathbb{R} ~|~x~\ \textgreater \ 6\}}$





$B) ~~4-3x\ \textgreater \ +6\to\\\\-3x\ \textgreater \ +6-4\to\\\\ -3x\ \textgreater \ 2\to~(-1)\\\\ 3x\ \textless \ -2\to\\\\ x\ \textless \ - \dfrac{2}{3} \\\\\\ \large\boxed{S = \left\{x \epsilon \mathbb{R} ~|~x\ \textless \ - \dfrac{2}{3}\right\}}$





$C)~~2x9\ \textless \ 5x-3 ~~\overrightarrow{~~~~~~} ~~~~ Esta\´~~~Ilegi\´vel$




$D)~~7x+4-5x\ \textless \ 20\to\\\\7x-5x\ \textless \ 20-4\to\\\\ 2x\ \textless \ 16\to\\\\ x\ \textless \ \dfrac{16}{2} \to\\ x\ \textless \ 8\\\\\\ \large\boxed{S = \{x \epsilon \mathbb{R} ~|~x~\ \ \textless \ 8\}}$