10:
a: 4x-3<-8+5x
=>4x-5x<-8+3
=>-x<-5
=>x>5
b: \(\left(x+2\right)^2-2\left(x+3\right)\left(x-4\right)>x\left(3-x\right)\)
=>\(x^2+4x+4-2\left(x^2-x-12\right)>3x-x^2\)
=>\(x^2+4x+4-2x^2+2x+24>3x-x^2\)
=>\(-x^2+6x+28>3x-x^2\)
=>6x+28>3x
=>3x>-28
=>\(x>-\dfrac{28}{3}\)
11:
a: \(\dfrac{6x+7}{4}+\dfrac{8-5x}{3}>=5\)
=>\(\dfrac{3\left(6x+7\right)+4\left(8-5x\right)}{12}>=5\)
=>\(18x+21+32-20x>=60\)
=>-2x+53>=60
=>-2x>=7
=>\(x< =-\dfrac{7}{2}\)
b: \(\dfrac{\left(x-3\right)^2}{6}-\dfrac{\left(x-6\right)^2}{15}>\dfrac{\left(x+9\right)^2}{10}-\dfrac{13x-1}{3}\)
=>\(\dfrac{5\left(x-3\right)^2}{30}-\dfrac{2\left(x-6\right)^2}{30}>\dfrac{3\left(x+9\right)^2}{10}-\dfrac{10\left(13x-1\right)}{30}\)
=>\(5\left(x^2-6x+9\right)-2\left(x^2-12x+36\right)>3\left(x^2+18x+81\right)-10\left(13x-1\right)\)
=>\(5x^2-30x+45-2x^2+24x-72>3\left(x^2+18x+81\right)-130x+10\)
=>\(3x^2-6x-27>3x^2+54x+162-130x+10\)
=>\(-6x-27>-76x+172\)
=>-6x+76x>172+27
=>70x>195
=>\(x>\dfrac{195}{70}=\dfrac{39}{14}\)
