a. 5x - 3 > 3x - 5 b. x+1/2953 + x+953/2001 + x+2950/4 > - 3

Đáp án:

 `a, x> -1`

`b, x> -2954`

Giải thích các bước giải:

$a,5x-3>3x-5\\ \Leftrightarrow 5x-3x>-5+3\\ \Leftrightarrow 2x>-2\\ \Leftrightarrow x>-1$

Vậy bpt có nghiệm `x> -1`

$b,\dfrac{x+1}{2953}+\dfrac{x+953}{2001}+\dfrac{x+2950}{4}>-3\\ \Leftrightarrow \left(\dfrac{x+1}{2953}+1\right)+\left(\dfrac{x+953}{2001}+1\right)+\left(\dfrac{x+2950}{4}+1\right)>0\\ \Leftrightarrow \dfrac{x+2954}{2953}+\dfrac{x+2954}{2001}+\dfrac{x+2950}{4}>0\\ \Leftrightarrow \left(x+2954\right)\left(\dfrac{1}{2953}+\dfrac{1}{2001}+\dfrac{1}{4}\right)>0$

Vì $\dfrac{1}{2953}+\dfrac{1}{2001}+\dfrac{1}{4}>0$

$\Rightarrow x+2954>0\\ \Leftrightarrow x>-2954$

Vậy bpt có nghiệm `x> -2954`

 `#hungg`