The statement that is TRUE among the followin | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Which of the following is not a statement?

The contrapositive of the statement,"If the side of a square doubles,then its area increases four times",is

Consider the following statements:
$P :$ Ramu is intelligent
$Q :$ Ramu is rich
$R :$ Ramu is not honest
The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

If $p, q, r, s$ are statements,where:
$p: A^2-B^2=(A-B)(A+B)$ where $A, B$ are matrices and $AB \neq BA$
$q: 5 \leqslant 5$
$r: { }^8 C_1+{ }^8 C_2+{ }^8 C_3+\ldots+{ }^8 C_8=256$
$s: \text{Maximum value of } { }^8 C_r \text{ is } 70$
Which of the following statements has a truth value of true?

Negation of $p \wedge (\sim q \vee \sim r)$ is -

Vedclass Test Series

Exam Paper Generator

Online Exam Module