\(\Leftrightarrow5-x>=x^2+5\)
\(\Leftrightarrow x^2+5+x-5< =0\)
=>x(x+1)<=0
=>-1<=x<=0
\(\Leftrightarrow5-x>=x^2+5\)
\(\Leftrightarrow x^2+5+x-5< =0\)
=>x(x+1)<=0
=>-1<=x<=0
Giải các BPT sau
a) \(\dfrac{3-2x}{5}\)-\(\dfrac{4x+1}{3}\)<\(\dfrac{-2+x}{2}\)-\(\dfrac{1}{4}\)
b) (x+2)2-(5+x)2 < hoặc = -2(4x+5)
Giải BPT: \(\dfrac{7x-8}{32}\) - \(\dfrac{5-x}{16}\) > \(\dfrac{x+9}{2}\) + \(\dfrac{1}{8}\)
Giải BPT tích:
\(\dfrac{x+2}{x+1}\le\dfrac{x-2}{x-1};\dfrac{x+5}{\left(x-7\right)\left(3-4x\right)}< 0\)
Giai cac bpt sau
a,\(\dfrac{4x-2}{3}-x+3\le\dfrac{1-5x}{4}\)
b,\(\dfrac{x+4}{5}-x-5\ge\dfrac{x+3}{3}-\dfrac{x-2}{2}\)
\(\dfrac{x}{2x+2}\) - \(\dfrac{2x}{x^2-2x-3}\) = \(\dfrac{x}{6-2x}\)
\(\dfrac{2x-3}{x+5}\) \(\ge\) 3
Giải PT và BPT
Giai các bpt sau
a,\(\dfrac{5x^2-3}{5}+\dfrac{3x-1}{4}< \dfrac{x\left(2x+3\right)}{2}-5\)
b,\(\dfrac{5x-2}{-3}\)\(-\dfrac{2x^2-x}{-2}>\dfrac{x\left(1-3x\right)}{-3}-\dfrac{5x}{-4}\)
Giai các bpt sau
a,\(\dfrac{x-1}{2}-\dfrac{7x+3}{15}\le\dfrac{2x+1}{3}+\dfrac{3-2x}{5}\)
b,\(\dfrac{2x+1}{-3}-\dfrac{2x^2+3}{-4}>\dfrac{x\left(5-3x\right)}{-6}-\dfrac{4x+1}{-5}\)
b) (x+2)2-(5+x)2 < hoặc = -2(4x+5)
giải bpt
3x-5>2(x-1)+x
Giải bpt sau:
\(\dfrac{x-1}{4-x}\text{≥}0\)