Which of the following is the empty set?
Z = {x:x is a non-zero real satisfying x + a = 0 for every real a}

Whether the following is empty (null) set? {x:x 7, x in N}

Whether the following is empty (null) set? { x:x^2-2= 0 and x is rational}

Write the negation of the following statement : p: For every real number x, x^2 >x .

Identify the quantifier of the following statement : For every real number x, x + 3 > x .

Identify the quantifier in the following statement and write the negation of the statement.:- For every real number x, x is less than x + 1 .

Identify the quantifier in the following statements and write the negation of the statements For every real number x, x is less than x+1

Find the range of the following function:- f(x) = x , x is a real number.

The locus of the point z satisfying Re(1/z) = k , where k is non -zero real number , is :

Write the negation of the following : For every real number x, x is less than x + 1.

Write the negation of the following statement:- r: For every real number x, either x > 1 or x < 1.