A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6
If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?
A binary operation * on the set of rational numbers is defined as \(x \ast y = \frac{x^2 - y^2}{2xy}\). Find \(-5 \ast 3\)
Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\)
