Home
Class 12
MATHS
Write doen the negation of the It is r...

Write doen the negation of the
It is raining and it is cool.

Text Solution

AI Generated Solution

The correct Answer is:
To find the negation of the statement "It is raining and it is cool," we can follow these steps: ### Step 1: Identify the components of the statement Let: - \( P \): "It is raining" - \( Q \): "It is cool" ### Step 2: Write the original statement in symbolic form The original statement can be expressed as: \[ P \land Q \] This means "It is raining and it is cool." ### Step 3: Apply the negation The negation of a conjunction (AND statement) is given by De Morgan's laws, which states: \[ \neg (P \land Q) = \neg P \lor \neg Q \] This means that the negation of "It is raining and it is cool" is equivalent to "It is not raining or it is not cool." ### Step 4: Write the negation in words Now, we can express the negation in words: "It is not raining or it is not cool." ### Final Answer The negation of the statement "It is raining and it is cool" is: "It is not raining or it is not cool." ---
Promotional Banner

Similar Questions

Explore conceptually related problems

The negation of the statement It is raining and weather is cold is

Write the negation of the following. 11 20

Write the negation of the statement sum of 4 and 5 is 10 ?

Write the negation of each of the disjunction: Ram is in class X or Rina is in Class IX.

Write the negation "The number 2 is greater than 7"

Write the negation of the following statement: The sun is cold.

Write the negation of the following statement: sqrt(2) is not a complex number.

Write the negation of the following. 7+3>5 .

Write the negation of the following statement: It rained on July 4, 2005.

Write the negation of each of the statement: (i) Ravish is tall, therefore he is slim (ii) If it is raining, then the game is cancelled.