Which of the following statements are true, and
which are false ? Justify your answers.
(a) Any polynomial of degree n z 1 over C can be
expressed as a product of polynomials of
degree 1 over C.
(b) The argument of any purely imaginary
number is 0 or 7E.
(c) - 2, Delhi, Mathematics } is a set.
(d) Given any n numbers, their AM is larger
than or equal to their GM.
(e) Any system of two or more linear equations
has a solution.
(a) The set {x E R I x2+ 1 = 0} is a null set.
(b) Every polynomial of degree 'n' over R has 'n'
roots in R.
(c) Foranyx,yelt,Ix - 37 111xl - 13'11.
(d) The geometrical representation of the set
{ix I x > 0} is a point.
(e) The system of 3 equations
4x + 3y = 0 = x - y - 1
6x + 2y = 0
can be solved.