हिंदी

Write the negation of the following statement. I will have tea or coffee. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Write the negation of the following statement.

I will have tea or coffee.

योग

उत्तर

Let p : I will have tea.
q : I will have coffee.

The given statement in symbolic form is p ∨ q.

Its negation is ~(p ∨ q) ≡ ~p ∧ ~q.

∴ The negation of given statement is ‘I will not have tea and coffee’.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.22 | पृष्ठ ३४

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.

[~(~p ∧ ~q)] v q


Write down the following statements in symbolic form :

(A) A triangle is equilateral if and only if it is equiangular.
(B) Price increases and demand falls


Write the following compound statement symbolically.

If Δ ABC is right-angled at B, then m∠A + m∠C = 90°


Construct the truth table of the following statement pattern.

(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


Construct the truth table of the following:

∼ (∼p ∧ ∼q) ∨ q


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.

Even though it is cloudy, it is still raining.


Write the negation of the following statement.

All men are animals.


Write the truth value of the negation of the following statement.

For every x ∈ N, x + 3 < 8.


Write the following statement in symbolic form.

If triangle is equilateral then it is equiangular.


Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.


If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ↔ ~(p ∨ q)


If p and q are true and r and s are false, find the truth value of the following compound statement.

[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p


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

Mona likes Mathematics and Physics.


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

If a real number is not rational, then it must be irrational.


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

Even though it is not cloudy, it is still raining.


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.

Proof is lengthy and it is not 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


Write the negation of the following.

If ∆ABC is not equilateral, then it is not equiangular.


Write the negation of the following statement.

∀ n ∈ N, n + 3 > 9.


Write the negation of the following statement.

∃ x ∈ A, such that x + 5 < 11.


A biconditional statement is the conjunction of two ______ statements.


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


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


Which of the following is NOT true for p → q.


The inverse of the statement "If its quality is good. then it is expensive.", is ______ 


The negation of ∼s ∨ (∼r ∧ s) is equivalent to ______


Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."


If p : A man is happy, q : A man is rich, then the symbolic form of ‘A man is neither happy nor rich is ______.


Using the statements

p: Seema is fat,

q: Seema is happy,

Write the following statements in symbolic form;

  1. Seema is thin and happy.
  2. If Seema is fat then she is unhappy.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×