GIAI BAT PHUONG TRINH :
( 2x + 1)( 3 - 2x)( 1 - x) > 0
Giai bat phuong trinh sau (x-1)(2x+3)<x(2x+1)-1
Giai bat phuong trinh : (x2+2x+4)(x-1)<0
\(bpt\Leftrightarrow\left[\left(x+1\right)^2+3\right]\left(x-1\right)< 0\)
\(\left(x+1\right)^2+3>0\Leftrightarrow x-1< 0\Leftrightarrow x< 1\)
1) Giai bat phuong trinh:
2x+\(\dfrac{3}{2x-4}< 3+\dfrac{3}{2x-4}\)
ĐK: \(x\ne2\)
\(2x+\dfrac{3}{2x-4}< 3+\dfrac{3}{2x-4}\\ \Leftrightarrow\dfrac{2x.\left(2x-4\right)+3}{2x-4}< \dfrac{3\left(2x-4\right)+3}{2x-4}\\ \Leftrightarrow4x^2-8x+3-6x+12-3< 0\\ \Leftrightarrow4x^2-14x+12< 0\\ \Leftrightarrow\dfrac{3}{2}< x< 2\)
giai bat phuong trinh (x^2-2x-3)^2<(x^2(x^2-4x-2)+3(5x-1)
=>x^4+4x^2+9-4x^3-6x^2+12x<x^4-4x^3-2x^2+15x-3
=>-2x^2+12x+9<-2x^2+15x-3
=>-3x<-12
=>x>4
giai phuong trinh
1, -3x \(\ge\)\(\frac{1}{5}\)
giai bat phuong trinh
a,\(|2-x|+5=0\)
b, \(|3-2x|+x=0\)
c,\(2x-|x+4|=7\)
Giai bat phuong trinh sau
\(\frac{2x+1}{x-3}\)>1
=> 2x +1 > x - 3
=> 2x - x > -3 - 1
=> x> -4
\(\frac{2x+1}{x-3}>1\)
\(\Leftrightarrow2x+1>x-3\)
\(\Leftrightarrow2x-x>-3-1\)
\(\Leftrightarrow x>-4\)
\(\frac{2x+1}{x-3}\)>1
<=> 2x+1 > x-3
<=> 2x-x >-3-1
<=> x > -4
Vậy BPT có tập No S= \(\hept{\begin{cases}x\\x>4\end{cases}}\)
x(2x - 1) - 8 < 5 - 2x(3 - x)
Hay giai bat phuong trinh sau:
3(1-2x)<= 4(5-3x/2)
giai bat phuong trinh
giai bat phuong trinh
1, 12+\(|2x-5|=21\)
2, 9-\(|x|=0\)
a, 12 + |2x - 5| = 21
=> |2x - 5| = 9
=> \(\orbr{\begin{cases}2x-5=9\\2x-5=-9\end{cases}}\)
=> \(\orbr{\begin{cases}2x=14\\2x=-4\end{cases}}\)
=> \(\orbr{\begin{cases}x=7\\x=-2\end{cases}}\)
b, 9 - |x| = 0
=> |x| = 9
=> \(\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)
~Study well~