Find the component statements of the following compound statement and check whether they are true or false.
All integers are positive or negative.
All integers are positive or negative.
(N/A) The component statements are as follows:
$p:$ All integers are positive.
$q:$ All integers are negative.
Both the statements are false because $0$ is an integer which is neither positive nor negative.
$p:$ All integers are positive.
$q:$ All integers are negative.
Both the statements are false because $0$ is an integer which is neither positive nor negative.
Explore More
Similar Questions
The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is
DifficultMHT CET 2026
View SolutionThe negation of the inverse of the statement $\sim p \lor q$ is...
DifficultMHT CET 2026
View SolutionWhich of the following is the inverse of the proposition: "If a number is a prime then it is odd."
Easy
View SolutionWhich of the following statements is/are False?
$S_1 : \exists n \in N$, such that $n^2 + n + 2$ is divisible by $4$.
$S_2 : \exists x \in N$, such that $x - 17 < 20$.
$S_3 : \forall n \in N, n^2 + 3n - 10 = 0$.
$S_4 : \forall n \in N, n^2 \ge 1$.
$S_1 : \exists n \in N$, such that $n^2 + n + 2$ is divisible by $4$.
$S_2 : \exists x \in N$, such that $x - 17 < 20$.
$S_3 : \forall n \in N, n^2 + 3n - 10 = 0$.
$S_4 : \forall n \in N, n^2 \ge 1$.
Which of the following sentences are statements? Give reasons for your answer.
All real numbers are complex numbers.
All real numbers are complex numbers.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo