Question

Let A = { a, b, c, d, e, f } . Consider the following relations on A .

R1 = { a, b , b, a }

R2 = { a, a , b, b , , , , , , , (, )}

R3 = { a, a , b, b , , , , , , , (, ),(a,b)}

R4 = { a, a , b, c , , , , , , , (, )}

(i) Write the reflexive relation among the above relations [1]

(ii) Write the symmetric relation among the above relations [1]

(iii) Write the functions on A among the above relations [1]

(iv) Write the bijective function among the above relations [1]

b) Show that the function ∶ ℝ → ℝ , given by

=

1 , > 0

0 , = 0

−1 , < 0

is neither one-one nor onto ?​

Answer 1

Answer:

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