Question

M.n giúp mừn giả tập nghiệm của bpt này vs ạ.

a) \(\dfrac{2x-5}{3}\)-\(\dfrac{3x-1}{2}\)<\(\dfrac{3-x}{5}\)-\(\dfrac{2x-1}{4}\)

b) 5x-\(\dfrac{3-2x}{2}\)>\(\dfrac{7x-5}{2}\)+x

c) \(\dfrac{7x-2}{3}-2x< 5-\dfrac{x-2}{4}\)

moq m.n giúp mừn ạ..

Answer 1

a) \(\dfrac{2x-5}{3}-\dfrac{3x-1}{2}\)<\(\dfrac{3-x}{5}-\dfrac{2x-1}{4}\)

=> 20(2x-5)-30(3x-1)<12(3-x)-15(2x-1)

<=>40x-100-90x+30<36-12x-30x+15

<=>-50x-70<51-42x

<=>-50x+42x<51+70

<=> -8<121

<=>x>\(\dfrac{-121}{8}\)

=> S={x|x>\(\dfrac{-121}{8}\)}

Answer 2

b) 5x-\(\dfrac{3-2x}{2}\)>\(\dfrac{7x-5}{2}\)+x

=> 10x-(3-2x)>7x-5+2x

<=>10x-3+2x>7x-5+2x

<=>10x-3>7x-5

<=>10x-7x>-5+3

<=>3x>-2

<=>x>\(\dfrac{-2}{3}\)

=>S={x|x>\(\dfrac{-2}{3}\)}

Answer 3

c)\(\dfrac{7x-2}{3}-2x< 5-\dfrac{x-2}{4}\)

=>4(7x-2)-24x<60-3(x-2)

<=> 28x-8-24x<60-3x+6

<=>4x-8<66-3x

<=>4x+3x<66+8

<=>7x<74

<=>x<\(\dfrac{74}{7}\)

=>S={x|x<\(\dfrac{74}{7}\)}