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Find the negation of 10 + 20 = 30

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प्रश्न

Find the negation of 10 + 20 = 30

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उत्तर

The negation of 10 + 20 = 30 is 10 + 20 ≠ 30.

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अध्याय 1.1: Mathematical Logic - Very Short Answers

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


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.

Angle is neither acute nor obtuse.


Write the following compound statement symbolically.

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


Write the following compound statement symbolically. 

Hima Das wins gold medal if and only if she runs fast.


If p ∧ q is false and p ∨ q is true, then ______ is not true.


Construct the truth table of the following:

(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


Construct the truth table of the following:

[(∼p ∨ q) ∧ (q → r)] → (p → r)


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

(p ∨ q) is T and (p ∧ q) is T


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

(p ∧ q) is F and (p ∧ q) → q is T


Express the following statement in symbolic form.

Mango is a fruit but potato is a vegetable.


Write the truth value of the following statement.

Earth is a planet and Moon is a star.


Write the truth value of the following statement.

16 is an even number and 8 is a perfect square.


Write the negation of the following statement.

2 + 3 ≠ 5


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.

It is not true that “i” is a real number.


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 ∧ r)


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 : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p


Fill in the blanks :

Conjunction of two statement p and q is symbolically written as ______.


State whether the following statement is True or False:

The negation of 10 + 20 = 30 is, it is false that 10 + 20 ≠ 30.


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

The Sun has set and Moon has risen.


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.

If the question paper is not easy then we shall not pass.


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 → r


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

If a quadrilateral is rhombus then it is not a square.


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

If 10 − 3 = 7 then 10 × 3 ≠ 30.


Write the negation of the following statement.

10 > 5 and 3 < 8


Negation of p → (p ˅ ∼ q) is ______


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


Negation of “Some men are animal” is ______.


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


If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.


If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______ 


Let p : 7 is not greater than 4 and q : Paris is in France by two statements. Then ∼(p ∨ q) is the statement ______ 


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


The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______ 


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


Let p, q and r be any three logical statements. Which of the following is true?


Write the following statement in symbolic form.

4 is an odd number if 3 is not a prime factor of 6.


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


From the following set of statements, select two statements which have similar meaning.

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Write the negation of p ↔ q.


Using truth table prove that:

~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)


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