求解~~~~~~~~~~~~~~
已知m,n为实数,若不等式(2m-n)x+3m-4n大于0的解集为x大于9分之4,求不等式(m-4n)x+2m-3n大于0的解集过程要全...
已知m,n为实数 ,若不等式(2m-n)x+3m-4n大于0的解集为x大于9分之4,求不等式(m-4n)x+2m-3n大于0的解集 过程要全
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(2m-n)x+3m-4n>0 =>(2m-n)x>4n-3m 由题意 2m-n>0 => x> (4n-3m)/(2m-n)=4/9
=> 36n-27m=8m-4n =>40n=35m => 8n=7m => m:n=8:7 设 m=8k;n=7k & 16k-7k=9k>0 => k>0
=> (8k-28k)x+16k-21k>0 =>-20k x -5 k >0 => 20k x +5k <0 => 20k x<-5k =>x< -(1/4)
=> 36n-27m=8m-4n =>40n=35m => 8n=7m => m:n=8:7 设 m=8k;n=7k & 16k-7k=9k>0 => k>0
=> (8k-28k)x+16k-21k>0 =>-20k x -5 k >0 => 20k x +5k <0 => 20k x<-5k =>x< -(1/4)
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