Question

/2x-3/ =4x+1

Answer 1

TH1:2x-3>0 ⇌ x>3/2

⇌2x-3=4x+1

⇌2x-4x=1+3

⇌-2x=4

⇌x=-2(KTM)

TH2:-(2x-3)<0 ⇌ x<3/2

⇌-2x+3=4x+1

⇌-2x-4x=1-3

⇌-6x=-2

⇌x=1/3(TM)

vậy BPT có tập nghiệm là S={1/3}

Answer 2

\(\Leftrightarrow\left\{{}\begin{matrix}2x-3=4x+1\\2x-3=-4x-1\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}-2x=4\\6x=2\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\x=\dfrac{1}{3}\end{matrix}\right.\)