Question

Answer 1

I: Phần trắc nghiệm

Câu 1: B

Câu 2: D

Câu 3: C

Câu 4: A

Câu 5: A

Câu 6: C

Câu 7: B

Câu 8: B

II: tự luận

Câu 1:

a: ĐKXĐ: \(x\notin\left\{0;1\right\}\)

\(\dfrac{2x}{x-1}+\dfrac{3\left(x+1\right)}{x}=5\)

=>\(\dfrac{2x^2+3\left(x-1\right)\left(x+1\right)}{x\left(x-1\right)}=5\)

=>\(\dfrac{2x^2+3\left(x^2-1\right)}{x\left(x-1\right)}=5\)

=>\(2x^2+3x^2-3=5x^2-5x\)

=>-5x=-3

=>\(x=\dfrac{3}{5}\left(nhận\right)\)

b: \(\left|1-2x\right|=2x-1\)

=>|2x-1|=2x-1

=>\(2x-1>=0\)

=>2x>=1

=>\(x>=\dfrac{1}{2}\)

c: \(\dfrac{2\left(x+1\right)}{3}-2>=\dfrac{x-2}{2}\)

=>\(\dfrac{4\left(x+1\right)}{6}-\dfrac{12}{6}>=\dfrac{3\left(x-2\right)}{6}\)

=>4x+4-12>=3x-6

=>4x-8>=3x-6

=>x>=2