a)x-4(x+1)<= -3
x-4x+4<= -3
3x<= -3+4
3x<= 1
x<=1-3
x<= -2
b)x(x-1)(x-5)>= 0
x([tex] x^{2} [/tex]-5)>=
[tex] x^{3} [/tex]-5x>=0
[tex] x^{3} [/tex]>=5x
[tex] x^{3} [/tex]/x>=5
[tex] x^{2} [/tex]=5
c)[tex] \frac{5}{x-4} * \frac{3}{2x-2} = \frac{x-2}{2(x+1)} [/tex]
[tex] \frac{15}{9x-2} = \frac{x-2}{2(x+1)} [/tex]
15*2(x+1)=x-2*9x-2
15*2x+2=x-18x-2
30x+2=19x-2
30x-19x= -2-2
11x= -4
x= -[tex] \frac{4}{11} [/tex]
