Are there numbers `x, y` such that `|x+y|lt|x|+|y| ?`

Find two numbers x, y such that |x+y|=|x|+|y|

If x and y are positive real numbers , then prove that x lt y iff x^2 lt y^2

Find two positive numbers x and y such that x+y=60 and x y^3 is maximum.

Suppose x and y are real numbers such that -1lt xlt ylt 1 . Let G be the sum of the geometric series whose first term is x and whose common ratio is y, and let G' be the sum of the geometric series whose first term is y and common ratio is x. If G=Gʻ, then the value of (x +y)

Check whether the following pair of statements are negation of each other. Give reasons for your answer. i) x+y=y+x is true for every real numbers x and y ii) There exists real numbers x and y for which x+y=y+x

Check whether the following pair of statements are negation of each other Give reasons for your answer. i)x+y=y+x is true for every real number x and y. (ii)There exist a real number x and y for which x+y = y+x.

If none of the angles x, y and (x+y) is a multiple of pi , then cot (x+y)=(cot x cot y-1)/(cot y+cot x)

Three numbers x,y and z in arithmetic progression if x+y+z=-3 and xyz =8 then x^(2)+y^(2)+z^(2) is equal to

Minimise Z=3 x+5 y such that x+3 y ge 3, x+y ge 2, x, y ge 0