Esercizi svolti su disequazioni fratte, esponenziali, logaritmiche, irrazionali, …
$sqrt(6x-x^2) lt 3-2x$
$sqrt(x^2+x+1) lt 4$
$sqrt(5-x)>1$
$root(3)(x^3-3x^2)>=root(3)(-2x)$
$root(3)(x^3-4x) lt = x-1$
$root(3)(2x-2)$
$x+3>root(3)(x^3-1)$
Risolvi in $RR$ la seguente disequazione frazionaria
Risolvi in $RR$ la seguente disequazione frazionaria
Risolvi in $RR$ la seguente disequazione frazionaria
Risolvi in $RR$ la seguente disequazione frazionaria
${(3x^2+5x>2),(1/3x^2+x+2/3>0),(x^2+x-1>0):}$
${((x^-1)/2+(x+3)/3-(x^2-1)/4>(5+x+4x^2)/(12)),(((x-2)^2)/6-((x-1)^2)/4+(x+1)/2 lt ;(x+2)/3+1/6):}$
${((17-x)/2+2x>=(8-3x)/3+(25)/3),((3x^2-1)/2+(2(x^2+1))/3 < = 7/3):}$
${((x/2+1)^2-5/4>5/8x),(4x-7>=3(x-1)):}$
${(x^2-49>0),((x^2)/3-27>=0):}$
${(3x^2-2x+7>=0),(2x^2-12x+9 lt=0):}$
${(3x^2+5x-2>=0),(x^2+3x+2>=0):}$
${(x^2-5x+4>0),(x^2+5x+4 lt 0):}$
${(x^2-7xlt 7x-10):}$
${(8(5-x)>3(x-5)),(3x^2-10x+3>0):}$
$((2x-3)(2x+3))/2-((5x+2)^2)/3 lt 1$
$-(x-2)^3+(3x-1)^2-x^2(16-x)+13(x-1)
$((x+5)^2)/6-((x-3)^2)/4>=(5(9x+5))/6$
$(x+3)^2x-6$
$2(x+3)(x-3)+18>2x^2-((x-1)(4x+8))/2$
$x/2(x+1)-3x+5>2$
$2x^2-7x>=5x-x^2-25$
$(4-2x)(x+3)+(3x-13)(1-x)>=-x(2x+1)-(x-12)$
$3x-3>=x(x+8)-27$
$1/4(x+1)^2+x^2>=0$
${((x-1)^2-(x+1)^2-16>=0),((x-1)^2>(x-1)(x+1)):}$
${(x-21>0),(21-x>0),(2(x+13)>0):}$
${((x+1)/2-(3-7x)/(10)>1-(7-3x)/2),(11-4(17-x) lt 26x-57):}$
${((x+1)/2>1-x),(x-1>(x-1)/2):}$
${(1/2x-1>4(1+x)/9),(1/3(x-1)/2-1>-1/2(x+1)/3):}$
${(x-2>1-x),(3(x-2)>47):}$
${(x-10>=-20),(2x>x-1):}$
${(1/2x>-1/2),(3x>-1/4):}$
${(5x-7y=2),(2x+3/2y=3):}$
$(x-1/4)(x-1/3)-x/6$
$(x+1)^2+5x-1>(x-4)^2+2x-3$
$(x+4/3)^2-x(x+4/3)>=x+4/3-8/3-2x$
$4x+(3x-9)/5+(5x-12)/3 lt 13$
$1/2(x-2)+1/2(x+2)>=x$
$x-(x-1)-(x-2)>0$
$6(1-x) lt 31(1-2x)$
$3x+1/2(x-2)>=5(1+1/(10)x)$
$x>=1-(1-x)$
$(3+|x|)/(2+|x|)>=6/5$