Solve: `(-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.`

Solve: (-1)/(|x|-2)>=1, where x in R,x!=+-2

Solve: |(2x-1)/(x-1)|gt2,x in R

Solve: (1)/(x-1)le2,x in R

Solve: (1)/(|x|-3)le(1)/(2),x in R

Solve: (|x|-1)/(|x|-2)>=0,x in R,x!=+-2

Solve: (1)/(2-|x|)ge1,x in R-{-2,2}

Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,pi),i s-1 (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,2pi),i s1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (-pi/2,pi/2),i s-1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (pi/2,(3pi)/2),i s-1

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4

Solve : 2|3-x||+3|x-1|=4, x in R