The statement that is TRUE among the followin | vedclass

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(A) For option $(A)$: The contrapositive of $p \Rightarrow q$ is $\sim q \Rightarrow \sim p$. Here $p$ is $3x + 2 = 8$ and $q$ is $x = 2$. Thus,$\sim

Vedclass · Accepted Answer

The contrapositive of $3x + 2 = 8 \Rightarrow x = 2$ is $x 
eq 2 \Rightarrow 3x + 2 
eq 8$.

Vedclass · Answer

(A) For option $(A)$: The contrapositive of $p \Rightarrow q$ is $\sim q \Rightarrow \sim p$. Here $p$ is $3x + 2 = 8$ and $q$ is $x = 2$. Thus,$\sim q \Rightarrow \sim p$ is $x 
eq 2 \Rightarrow 3x + 2 
eq 8$. This is true.For option $(B)$: The converse of $p \Rightarrow q$ is $q \Rightarrow p$. The converse of $	an x = 0 \Rightarrow x = 0$ is $x = 0 \Rightarrow 	an x = 0$. Thus,$(B)$ is false.For option $(C)$: $p \Rightarrow q$ is equivalent to $\sim p \vee q$,not $p \vee \sim q$. Thus,$(C)$ is false.For option $(D)$: $p \vee q$ (disjunction) and $p \wedge q$ (conjunction) have different truth tables. Thus,$(D)$ is false.

The statement that is $TRUE$ among the following is:

Similar Questions

The simplified switching circuit for the following circuit is (Assume the circuit consists of two switches $S_1$ and $S_2$ in parallel, connected in series with a switch $S_3$):

Consider the following statements:
$(A)$ If $4+3=8$,then $5+3=9$
$(B)$ If $6+4=10$,then the moon is flat
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Which of the following statements is correct?

The negation of the inverse of $\sim p \rightarrow q$ is

The Boolean expression $(\sim(p \wedge q)) \vee q$ is equivalent to

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