\(\dfrac{3x-2}{4}-x< \dfrac{x+2}{5}\\ \Leftrightarrow\dfrac{5\left(3x-2\right)}{20}-\dfrac{20x}{20}-\dfrac{4\left(x+2\right)}{20}< 0\\ \Leftrightarrow15x-10-20x-4x-8< 0\\ \Leftrightarrow-9x-18< 0\\ \Leftrightarrow-9x< 18\\ \Leftrightarrow x>-2\)
Gỉai bptr sau:
a,\(\dfrac{x-5}{4}-\dfrac{2x-1}{2}< 3\)
b,\(\dfrac{5x^2-3}{5}+\dfrac{3x-1}{4}>\dfrac{x\left(2x+3\right)}{2}-5\)
Giai bptr sau
\(\dfrac{6x+5}{4}-\dfrac{x-3}{2}< \dfrac{6x-1}{3}+\dfrac{7x-1}{12}\)
Giaỉ bptr sau :
a,\(\left(x-2\right)\left(x+2\right)+4x-5\ge x^2+6\)
b,\(\left(3x-1\right)^2-9\left(x-1\right)\left(x+1\right)< 5x-2\)
Giari bptr sau
\(\dfrac{7x-1}{6}+2x\ge\dfrac{16-x}{5}\)
Giaỉ phương trình sau :
\(\dfrac{x+5}{x-1}-\dfrac{x+1}{x-3}=\dfrac{8}{x^2+4x+3}\)
Giaỉ PT
a/\(\dfrac{5\left(x-3\right)}{2}-\dfrac{4}{3}=\dfrac{3\left(x-1\right)}{4}+6\)
b/\(\dfrac{4}{2x-3}=\dfrac{1}{x+5}\)
giải các phương trinh sau
1/ \(\dfrac{4x-4}{3}-\dfrac{7-x}{5}\)
2/ \(\dfrac{3x-9}{5}=\dfrac{3-x}{2}\)
3/ \(\dfrac{2x-1}{5}-\dfrac{3-x}{3}=1\)
4/ \(\dfrac{x-5}{3}+\dfrac{3x+4}{2}=\dfrac{5x+2}{6}\)
5/ \(\dfrac{x-3}{2}+\dfrac{2x+3}{5}=\dfrac{2x+5}{10}\)
Giải các phương trình sau:
\(e.\dfrac{12}{1-9x^2}=\dfrac{1-3x}{1+3x}-\dfrac{1+3x}{1-3x}\)
\(f.\dfrac{6x+1}{x^2-7x+10}+\dfrac{5}{x-2}=\dfrac{3}{x-5}\)
\(g.\dfrac{2}{x+2}-\dfrac{2x^2+16}{x^3+8}=\dfrac{5}{x^2-2x+4}\)
\(h.\dfrac{8}{x-8}+\dfrac{11}{x-11}=\dfrac{9}{x-9}+\dfrac{10}{x-10}\)
Giải các pt sau:
1)\(\dfrac{2x+1}{x^2-4}+\dfrac{2}{x+1}=\dfrac{3}{2-x}\)
2)\(\dfrac{3x+1}{1-3x}+\dfrac{3+x}{3-x}=2\)
3)\(\dfrac{8x-2}{3}=1+\dfrac{5-2x}{4}\)
4)
\(\dfrac{x}{x+1}-\dfrac{2x+3}{x}=\dfrac{-3}{x+1}-\dfrac{3}{x}\)
5)\(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{4}{x^2-1}\)
6)\(\dfrac{2x+5}{2x}-\dfrac{x}{x+5}=0\)
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