मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

If p : Proof is lengthy. q : It is interesting. Express the following statement in symbolic form. Proof is lengthy and it is not interesting.

Advertisements
Advertisements

प्रश्न

If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

Proof is lengthy and it is not interesting.

बेरीज
Advertisements

उत्तर

p ∧ ∼ q

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.04 | पृष्ठ ३२

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p


Evaluate: ∫ x . log x dx


Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.


Determine the truth values of p and q in the following case:

(p ∨ q) is T and (p ∨ q) → q is F


Express the following statement in symbolic form.

Milk is white or grass is green.


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p


Negation of “some men are animal” is ______.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

The necessary condition for existence of a tangent to the curve of the function is continuity.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

x3 + y3 = (x + y)3 if xy = 0.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

It is not true that intelligent persons are neither polite nor helpful.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is not true that the proof is lengthy but it is interesting.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → q


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

∼ (p ∨ q) ∧ r


Write the negation of the following.

An angle is a right angle if and only if it is of measure 90°.


Rewrite the following statement without using the connective ‘If ... then’.

If it rains then the principal declares a holiday.


Write the negation of the following statement.

10 > 5 and 3 < 8


Write the negation of the following statement.

∀ n ∈ N, n + 3 > 9.


The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.


Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”


Write the negation of p → q


Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements


The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)


If q: There are clouds in the sky then p: it is raining. The symbolic form is ______


Converse of the statement q `rightarrow` p is ______.


Write the negation of p ↔ q.


Construct the truth table for the statement pattern:

[(p → q) ∧ q] → p


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×