Tìm m để  hệ bất phương trình có nghiệm duy nhất

a) \(\left\{{}\begin{matrix}2x-1\ge3\\x-m\le0\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}m^2x\ge6-x\\3x-1\le x+5\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}\left(x-3\right)^2\ge x^2+7x+1\\2m\le8+5x\end{matrix}\right.\)

d) \(\left\{{}\begin{matrix}mx\le m-3\\\left(m+3\right)x\ge m-9\end{matrix}\right.\)

e)\(\left\{{}\begin{matrix}2m\left(x+1\right)\ge x+3\\4mx+3\ge4x\end{matrix}\right.\)

Tập nghiệm của bất phương trình (x²-3x)\(\sqrt{2x^2-3x-2}\ge0\) Là

A.\(\left[{}\begin{matrix}X\ge3\\x=2\\x\le\frac{-1}{2}\end{matrix}\right.\)

B.\(\left[{}\begin{matrix}X\ge3\\x\le0\end{matrix}\right.\)

C.\(\left[{}\begin{matrix}X\ge2\\x\le\frac{-1}{2}\end{matrix}\right.\)

D.x∈\(\left\{\frac{-1}{2};0;2;3\right\}\)

Tìm m để  hệ bất phương trình vô nghiệm

a) \(\left\{{}\begin{matrix}3x+4>x+9\\1-2x\le m-3x+1\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}2x+7\ge8x+1\\m+5< 2x\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}\left(x-3\right)^2\ge x^2+7x+1\\2m\le8+5x\end{matrix}\right.\)

d) \(\left\{{}\begin{matrix}3x+5\ge x-1\\\left(x+2\right)^2\le\left(x-1\right)^2+9\\mx+1>\left(m-2\right)x+m\end{matrix}\right.\)

e) \(\left\{{}\begin{matrix}2\left(x-3\right)< 5\left(x-4\right)\\mx+1\le x-1\end{matrix}\right.\)

GIẢI CÁC HPT SAU:

a) \(\left\{{}\begin{matrix}3x-5\ge2x+12\\\frac{x-3}{2}\le\frac{2x+27}{3}\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}2-7x\ge x-14\\3x+1\ge6x-11\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}3x+\frac{3}{5}< x+2\\2x+3 >\frac{7x-3}{4}\end{matrix}\right.\)

d) \(\left\{{}\begin{matrix}\frac{4x+5}{2}< 4x-3\\x\left(x-1\right)\ge\left(x-3\right)\left(4+x\right)\end{matrix}\right.\)

GIÚP MIK VỚI

giải các hệ BPT sau:

a) \(\left\{{}\begin{matrix}5x-2>4x+5\\5x-4< x+2\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}2x+1>3x+4\\5x+3\ge8x-9\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}\frac{5x+2}{3}\ge4-x\\\frac{6-5x}{13}< 3x+1\end{matrix}\right.\)

d) \(\left\{{}\begin{matrix}\frac{4x-5}{7}< x+3\\\frac{3x+8}{4}>2x-5\end{matrix}\right.\)

e) \(\left\{{}\begin{matrix}6x+\frac{5}{7}< 4x+7\\\frac{8x+3}{2}< 2x+5\end{matrix}\right.\)

f) \(\left\{{}\begin{matrix}15x-2>2x+\frac{1}{3}\\2\left(x-4\right)< \frac{3x-14}{2}\end{matrix}\right.\)

g) \(\left\{{}\begin{matrix}x-1\le2x-3\\3x< x+5\\5-3x\le2x-6\end{matrix}\right.\)

h) \(\left\{{}\begin{matrix}2x+\frac{3}{5}>\frac{3\left(2x-7\right)}{3}\\x-\frac{1}{2}< \frac{5\left(3x-1\right)}{2}\end{matrix}\right.\)

j) \(\left\{{}\begin{matrix}\frac{3x+1}{2}-\frac{3-x}{3}\le\frac{x+1}{4}-\frac{2x-1}{3}\\3-\frac{2x+1}{5}>x+\frac{4}{3}\end{matrix}\right.\)

bài 1giải bpt

a) \(\frac{x+2}{3}-x+1>x+3\)

b) \(\frac{3x+5}{2}-1\le\frac{x+2}{3}+x\)

c) \(\frac{\left(x-2\right)\sqrt{x-1}}{\sqrt{x-1}}< 2\)

bài 2 \ giải hệ bpt

a) \(\left\{{}\begin{matrix}2-x>0\\2x+1>x-2\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}\frac{2x-1}{3}< -x+1\\\frac{4-3x}{2}< 3-x\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}-2x+\frac{3}{5}>\frac{3\left(2x-7\right)}{3}\\x-\frac{1}{2}< \frac{5\left(3x-1\right)}{2}\end{matrix}\right.\)

Mgọi người giúp mình với ạ

bài 1: giải hệ bất phương trình sau:

a) \(\left\{{}\begin{matrix}2-x>0\\2x+1>x-2\end{matrix}\right.\)

b) \(\left\{{}\begin{matrix}3\left(x-6\right)< -3\\\frac{5x+1}{2}>7\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}\frac{x-2}{x-1}\le0\\\left(x-1\right)\left(x+1\right)\le0\end{matrix}\right.\)

bài 2: xét dấu các nhị thức sau:

a) q(x)=\(\frac{\left(x-1\right)\left(2x-7\right)}{\left(2+x\right)^2}\)

b) n(x)=\(\frac{\left(1-2x\right)\left(2x-1\right)}{3+x}\)

bài 3: giải các bất phương trình sau;

a) 2\(\left|x-3\right|-\left|3x+1\right|\le x+5\)

b) \(\left|\frac{3x+1}{x-3}\right|< 3\)