Question

A) 2(x+3)>3(1-x)

B) 3(1-2x)<2(x-1) +x-7


preciso do calculo por favor​

Answer 1

Olá!

$a) \: 2(x + 3) > 3(1 - x) \\ 2x + 6 > 3 - 3x \\ 2x + 3x > 3 - 6 \\ 5x > - 3 \\ \boxed{ \bf{x > - \frac{3}{5} } } \\ \\ \bf{S = \{x \in \mathbb{R} | \: x > - \frac{3}{5} \}}$

$b) \: 3(1 - 2x) < 2(x - 1) + x - 7 \\ 3 - 6x < 2x - 2 + x - 7 \\ 3 - 6x < 3x - 9 \\ - 6x - 3x < - 9 - 3 \\ - 9x < - 12 \: \color{red}{ \cdot( - 1)} \\ 9x > 12 \\ x > \frac{ {12}^{ \color{red}{ \div 3} } }{ {9}^{ \color{red} { \div 3}} } \\ \boxed{ \bf{x > \frac{4}{3} } } \\ \\ \bf{S = \{x \in \mathbb{R} | \: x > \frac{4}{3} \}}$

Espero ter ajudado! :)

Answer 2

A) 2(x + 3) > 3(1 - x)

2x + 6 > 3 - 3x

2x + 3x > 3 - 6

5x > - 3

x> - 3/5

B) 3(1 - 2x) < 2(x - 1) + x - 7

3 - 6x < 2x - 2 + x - 7

3 - 6x < 3x - 9

- 6x - 3x < - 9 - 3

- 9x < - 12 (-1)

9x > 12

x> 12/9(÷3)

x> 4/3