If x is a real number and `|x| lt 3`, then

If x is a real number and |x | lt 5 , then

If x is a real number and |5-(x-3)|+8lt15 , then (i) 1 le x le 15 (ii) 1lt x lt 15 (iii) 1 lt x le 15 (iv) 1 le x le 15

If x, y and b are real number and x lt y, b lt 0 , then

If x, y and b are real number and x lt y, b lt 0 , then

Given that x, y and b are real numbers and x lt y, b lt 0 then,

If z=x+iy , where x and y are real numbers and |x|+|y| lt= k|z| then k=.....

If a is a real number such that 0 lt a lt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

If a ,x are real number |a|lt1,|x|lt1" then "1+(1+a)x+(1+a+a^(2))x^(2)+....oo is equal to