$S_1$: If $-7$ is an integer,then $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.
- A$S_1$ and $S_2$ are converse statements of each other.
- B$S_1$ and $S_2$ are negations of each other.
- C$S_1$ and $S_2$ are equivalent statements.
- D$S_1$ and $S_2$ are contrapositive of each other.
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Similar Questions
The Boolean expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to:
Consider the following statements:
Statement $I$: If a quadrilateral $ABCD$ is a square,then all of its sides are equal.
Statement $II$: If all the sides of a quadrilateral $ABCD$ are equal,then $ABCD$ is a square.
Then:
Statement $I$: If a quadrilateral $ABCD$ is a square,then all of its sides are equal.
Statement $II$: If all the sides of a quadrilateral $ABCD$ are equal,then $ABCD$ is a square.
Then:
Check whether the following sentence is a statement. Give reasons for your answer.
"Every set is a finite set."
"Every set is a finite set."
Easy
View SolutionThe statement pattern $(p \wedge q) \vee (\sim p \wedge q) \vee (r \wedge \sim q)$ is logically equivalent to:
The conditional $(p \wedge q) \Rightarrow p$ is :-
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