Question

If x<y, then X2<y2(x,y€R)
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Answer 1

Answer:

If x,y in R and satisfy the equation xy(x^(2)-y^(2))=x^(2)+y^(2) where xne0 then the minimum possible value of x

Answer 2

SOLUTION

Let p: x < y,

q: x2 < y2

Then the symbolic form of the given statement is p → q.

Converse: q → p is the converse of p → q.

i.e. If x2 < y2, then x < y.

Inverse: ∼ p → ∼ q is the inverse of p → q.

i.e. If x `≥` y, then x2 `≥` y2.

OR

If x `≮` y, then x2 `≮` y2.

Contrapositive: ∼ q → p is the contrapositive of p → q

i.e. If x2 `≥` y2, then x `≥` y.

OR

If x2 `≮` y2, then x `≮` y.