Show that if `A ⊂ B`, then `C – B ⊂ C – A`.

Show that if f: A to B and g : B to C are onto, then gof A to C is also onto.

Show that if f: A to B and g : B to C are one-one then fog: A to C is also one-one.

Show that if f: A to B and g: B to C are onto, then gof : A to C is also onto.

Show that if f : A to B and g: B to C are one-one, then gof: A to C is also one-one.

Show that A ∩ B = A ∩ C need not imply B = C .

If A' = [(2,5),(2,1),(-3,2)], B = [(2,-1,-2),(4,0,5)] and [(4,5,2),(0,1,4)] find A + B and B -C , show that A + (B -C) = (A + B) - C .

Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .

Using determinants show that points A(a, b + c), B(b, c + a) and C(c, a + b) are collinear.

Using determinants show that points A (a, b+ c) , B (b,c+ a) and C ( c, a+ b) are collinear.