Respondido

2)Determine  o conjunto verdade das seguintes inequações:

 

a) 2(1-x) < 2/3 – 2 (2x-2)

 

 

 

b) 1< 2x – 4 ≤ 6

Resposta :

a)
[tex]2(1-x)<\frac{2}{3}-2(2x-2)\\\\2-2x<\frac{2}{3}-4x+4\\\\4x-2x<\frac{2}{3}+4-2\\\\2x<\frac{2}{3}+2\\\\6x<2+6\\\\6x<8\;\;\div(2\\\\\boxed{x<\frac{4}{3}}[/tex]

b)
[tex]1<2x-4\leq6\\\\1+4<2x\leq6+4\\\\5<2x\leq10\;\;\div(2\\\\\boxed{\frac{5}{2}<x\leq5}[/tex]

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