Answer 1

R = {(a, b): a ≤ b²}

It can be observed that `(1/2, 1/2) in R, Since 1/2 > (1/2)^2 = 1/4`

∴R is not reflexive.

Now, (1, 4) ∈ R as 1 < 4²

But, 4 is not less than 1².

∴(4, 1) ∉ R

∴R is not symmetric.

Now,

(3, 2), (2, 1.5) ∈ R

(as 3 < 2² = 4 and 2 < (1.5)² = 2.25)

But, 3 > (1.5)² = 2.25

∴(3, 1.5) ∉ R

∴ R is not transitive.

Hence, R is neither reflexive, nor symmetric, nor transitive.