Write the negation of the following statement:
$\sqrt{2}$ is not a complex number.
$\sqrt{2}$ is not a complex number.
(N/A) The negation of a statement $p$ is denoted as $\sim p$.
Given the statement $p$: $\sqrt{2}$ is not a complex number.
The negation $\sim p$ is: $\sqrt{2}$ is a complex number.
Given the statement $p$: $\sqrt{2}$ is not a complex number.
The negation $\sim p$ is: $\sqrt{2}$ is a complex number.
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Similar Questions
The logical statement $(p$ $\rightarrow q) \wedge (p$ $\rightarrow \sim p)$ is equivalent to
Which of the following is a statement?
Easy
View SolutionWhich of the following statement patterns is a tautology?
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
$S_{1} \equiv \sim p \rightarrow (q \leftrightarrow p)$
$S_{2} \equiv \sim p \vee \sim q$
$S_{3} \equiv (p$ $\rightarrow q) \wedge (q$ $\rightarrow p)$
$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$
Which of the following statements is true?
Find the component statements of the following and check whether they are true or not.
All prime numbers are either even or odd.
All prime numbers are either even or odd.
Easy
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