Question

If x = -y and y > 0, then
i.) x + y = 0 ii) x y > 0 iii) [1/x ] + [1/y] > 0 iv) none of them

Answer 1

Answer:

x is the additive inverse of y

mark me as brainliest

Answer 2

Answer:

The correct option is i) x + y = 0.

Step-by-step-explanation:

We have given that,

x = - y &

y > 0

Now,

x = - y

⇒ x + y = 0

∴ i) x + y = 0 is correct.

It is given that,

y > 0

∴ y is positive.

Also,

- y < 0 < y

∴ x < 0 < y

∴ ii) x, y > 0 is not correct.

Now,

[ 1 / x ] + [ 1 / y ] > 0

⇒ ( x + y ) / xy > 0

⇒ ( x + y ) > 0

⇒ ( - y + y ) > 0

⇒ 0 > 0

It's a contradiction.

∴ iii) [ 1 / x ] + [ 1 / y ] > 0 is not correct.

∴ The correct option is i) x + y = 0.