हिंदी

State whether the following statement is True or False: p → q is equivalent to p → ~ q - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State whether the following statement is True or False:

p → q is equivalent to p → ~ q

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

False

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.1: Mathematical Logic - Q.2

संबंधित प्रश्न

State which of the following is the statement. Justify. In case of a statement, state its truth value.

x2 = x


State which of the following is the statement. Justify. In case of a statement, state its truth value.

All real numbers are whole numbers.


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

p ∨ (q ∧ r)


If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(q ∧ r) ∨ (∼ p ∧ s)


If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∀ x ∈ A, x2 + x is an even number


If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∀ x ∈ A, x is an even number.


Which of the following sentence is the statement in logic? Justify. Write down the truth value of the statement:

4! = 24.


`sqrt5` is an irrational but `3sqrt5` is a complex number.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

`sqrt(-4)` is an irrational number.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

The number of arrangements of 7 girls in a row for a photograph is 7!.


State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.

Can you speak in English?


Solve the following :

State which of the following sentences are statements in logic.
Read a lot to improve your writing skill.


Which of the following sentence is a statement? In case of a statement, write down the truth value.

Please carry out my instruction.


Determine the truth value of the following statement.

It is not true that 2 + 3 = 6 or 12 + 3 =5


Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.

If stock prices are high then stocks are not rising.


Choose the correct alternative :

Which of the following statement is true?


State whether the following statement is True or False:

p ↔ q is false when p and q have different truth values


State whether the following statement is True or False:

Mathematical identities are true statements


Consider the following two statements.

Statement p:

The value of sin 120° can be divided by taking θ = 240° in the equation 2 sin `θ/2` = `sqrt(1 + sin θ) - sqrt(1 - sinθ)`.

Statement q:

The angles A, B, C and D of any quadrilateral ABCD satisfy the equation `cos(1/2(A + C)) + cos(1/2(B + D))` = 0

Then the truth values of p and q are respectively.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×