State which of the following statements are true.
(i) `{}=phi`
(ii) `phi=0`
(iii) `0={0}`

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P= {m, n} and Q = {n, m}, then P xx Q= {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A xx B is a non-empty set of ordered pairs (x, y) such that x in A and y in B. (iii) If A={1,2}, B={3,4} then A xx (B cap phi)=phi

State whether the following statements are true or false. Justify your answers. (iii) Every real number need not be a rational number

By giving a counter example, show that the following statements are not true. (ii) q: The equation x^(2) - 1 = 0 does not have a root lying between 0 and 2.

Which graphs of following equations are parallel to Y-axis? (i) x=4 (ii) y-3=0 (iii) x+8=0 (iv) y=(-9)

Write down the power set of the following sets. (i) A={a,b} (ii) B={1,2,3} (iii) D={p,q,r,s} (iv) E=phi

State whether the following statements are true or false. Give reasons for your answers. For any real number x , x^(2) ge 0 .

Let theta in [ 0, pi/2] which one of the following is true ?

Find the slope of the following straight lines. (i) 5y-3=0 (ii) 7x-3/(17)=0

Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9} . Insert the symbol subset or cancel(subset) between each of the following pair of sets. (i) phi ....B (ii) A....B (iii) A.....C (iv) B.....C