Negation of the statement "The payment will b | vedclass

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

Question

(D) Let $p$ : The payment will be made. Let $q$ : The work is finished in time. The given statement is a biconditional statement: $p \iff q$,which is

Vedclass · Accepted Answer

Either the work is finished in time and the payment is not made,or the payment is made and the work is not finished in time.

Vedclass · Answer

(D) Let $p$ : The payment will be made. Let $q$ : The work is finished in time. The given statement is a biconditional statement: $p \iff q$,which is equivalent to $(p \rightarrow q) \wedge (q \rightarrow p)$. The negation of $p \iff q$ is $\sim(p \iff q)$,which is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$. This translates to: "The payment is made and the work is not finished in time,or the work is finished in time and the payment is not made." Therefore,option $(D)$ is correct.

Negation of the statement "The payment will be made if and only if the work is finished in time." is

Similar Questions

What is the undifferentiated mass of cells in tissue culture called?

The equation of a straight line passing through the point $(1,2)$ and inclined at $45^{\circ}$ to the line $y=2x+1$ is

If $x y \neq 0, x+y \neq 0$ and $x^m y^n=(x+y)^{m+n}$, where $m, n \notin N$, then $\frac{d y}{d x}$ is equal to

Consider a gas phase reaction which occurs in a closed vessel: $2A \rightarrow 4B + C$. The concentration of $B$ is found to be increased by $5 \times 10^{-3} \ mol \ L^{-1}$ in $10 \ s$. The rate of disappearance of $A$ (in $mol \ L^{-1} \ s^{-1}$) is:

Five elements $A, B, C, D$ and $E$ have work functions $1.2 \ eV, 2.4 \ eV, 3.6 \ eV, 4.8 \ eV$ and $6 \ eV$ respectively. If light of wavelength $4000 \ \mathring{A}$ is allowed to fall on these elements,then photoelectrons are emitted by:

Vedclass Test Series

Exam Paper Generator

Online Exam Module