Without using truth table prove that : (p q) ( p q)= p - Vidyadip

Question

Without using truth table prove that :$\sim(p \vee q) \vee(\sim p \wedge q)=\sim p$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following questions in short." from Mathematical Logic→Mathematical Logic — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.

Evaluate the following functions : $\int \frac{\sec ^8 x}{\operatorname{cosec} x} \cdot d x$

In each of the following examples verify that the given expression is a solution of the corresponding differential equation.

$xy =\log y + c _{;} \frac{d y}{d x}=\frac{y^2}{1-x y}$

Write the negation of p → q

Find which of the following matrices are invertible : $B=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$

Verify which of the following is p.d.f. of r.v. X: $f(x)=x$, for $0 \leq x \leq 1$ and $-2-x$ for $1

Select the appropriate hint from the hint basket and fill in the blank spaces in the following paragraph. [Activity]
"Let $f(x)=\sin x$ and $g(x)=\log x$ then $f[g(x)]=$ and $g[f(x)]=$ and $g^{\prime}(x)=$
The derivative of $f[g(x)] w . r . t . x$ in terms of $f$ and $g$ is
Therefore $\frac{d}{d x}[f[g(x)]]=$ and $\left[\frac{d}{d x}[f[g(x)]]\right]_{x=1}=$
The derivative of $g[f(x)] w . r . t . x$ in terms of $f$ and $g$ is
Therefore $\frac{d}{d x}[g[f(x)]]=$ and $\left[\frac{d}{d x}[g[f(x)]]\right]_{x=\frac{\pi}{3}}=$

Find the Cartesian equations of the line passing through the point $\mathrm{A}(2,1,-3)$ and perpendicular
to vectors $\bar{b}=\hat{i}+\hat{j}+\hat{k}$ and $\bar{c}=\hat{i}+2 \hat{j}-\hat{k}$

Write the negations of the following.$Ɐ n \in N, n^2 + n + 2$ is divisible by $4$.

$\int_0^1 \frac{1}{\sqrt{3+2 x-x^2}} \cdot d x$