If a,b,c are real numbers such that `0 lt a lt 1, 0 lt b gt 1, 0 lt c lt 1, a + b + c = 2`, then prove that `(a)/(1 - a) (b)/(1 - b) (c )/(1 - c) ge 8`
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If a,b,c are real numbers such that 0 lt a lt 1, 0 lt b lt 1, 0 lt c lt 1, a + b + c = 2 , then prove that (a)/(1 - a) (b)/(1 - b) (c )/(1 - c) ge 8 .

Let a,b,c,d,e, be real numbers such that a+b lt c+d , b+c lt d+e, c+d lt e+a, d+e lt a+b . Then

If a, b and c are three real numbers such that a - b+c lt 1, a + b + c gt -1 and 9a + 3b + c lt -4 , then what is the sign of 'a' ?

Suppose a,b and c are real numbers such that a/b gt 1 and a/c lt 0 . What one of the following is true ?

If A and B are independent events such that 0 lt P(A) lt 1 and 0 lt P(B) lt 1 , then -

If a, b and c are different integers such that a lt b lt c lt 0 , then which of the following statements is true ?

If a lt 0, b gt 0 and c lt 0 , then the point P(a, b, -c) lies in the octant

If a and b are negative real numbers and c is a positive real number, then which of the following is/are correct? 1. a-b lt a-c 2. If a lt b , then (a)/(c ) lt (b)/(c ) . 3. (1)/(b) lt (1)/(c ) Select the correct answer using the code given below.