Check validity: (2) `AA` x `in`R, |x| = x

Check validity: (4) EE x in N such that x + 6 < 4

Find the truth values of the followings: (ii) AA x in R, x ^2 < 0

Write negation of the following statements consisting of quantifiers: (ii) For every x in R, x is not less than (x + 2).

Write the following sets as intervals: {x : x in R,- 20 < x ≤ 10}

Let A={1,2,3} and B={2,4,6,8} . Consider the rule f:A to B,f(x)=2x,AA x in R . Find the domain, codomain and range of f.

State true or false: R={(a,b) : a,b in A, |a-b| <5} is an universal relation in the set A={x : x in R, -50

Prove that f (x) = |x-1|,x in R is not differnentiable at x=1

Write the following sets as intervals: {x : x ∈ R, -6 < x <10 }

Solve the following equations and check you results. 2x - 1 = 14 -x

Differentiate : (x^2 + 2x +1)^5 w.r.t (x^2 + 2x +1)