Find the value of `x^(2)` for the given values of x.
`(i) x lt 3 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1`

Find tha values of x^2 for the given values of x. (i) x lt 2 (ii) x gt -1 (iii) x ge 2 (iv) x lt -1

Find the value of 1/x for the given values of x (i) x gt 3 (ii) x lt -2 (iii) x in (-1 , 3 ) - {0}

Find the value of 1/x for the given values of xx>3( ii) x<-2 (iii) x in(-1,3)-{0}

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|

Find the value of the following expressions, when x=-1 (i) 2x-7( ii) -x+2 (iii) x^(2)+2x+1 (iv) 2x^(2)-x-2

(i) If a + b + c = 5 , (a, b, c gt 0) , find the greatest value of a^(3) b^(2) c^(4) . (ii) Find the greatest value of (5 - x)^(2) (x -2)^(2) , given 2 lt x lt 5 .

If sin x=(sqrt(5))/(3) " and " 0 lt x lt .(pi)/(2) find the values of (i) " sin " 2x " ""(ii) cos 2x "" ""(iii) tan 2x "

The number of intergal values of x if 5x -1 lt (x+1)^2 lt 7 x-3 is

Solve the equation: (i) 3x-9lt0 (ii) -5x+25le0 (iii) 7x+4gt39 (iv) 6x-18ge0 .