Write the negation of the following statements:
r : There exists a number x such that 0 < x < 1.

Question

Write the negation of the following statements: r : There exists a number x such that 0 < x < 1.

Philoid · Accepted Answer

Negation of statement p is 'not p.' The negation of p is symbolized by '~p.' The truth value of ~p is the opposite of the truth value of p.

The negation of the statement:

r : There exists a number x such that 0 < x < 1.

is

~r : For every real number x,either x ≤ 0 or x ≥ 1.

Write the negation of the following statements:r : There exists a number x such that 0 < x < 1.