English

Write the following statement in symbolic form. Stock prices are high if and only if stocks are rising.

Advertisements
Advertisements

Question

Write the following statement in symbolic form.

Stock prices are high if and only if stocks are rising.

Short/Brief Note
Advertisements

Solution

Let p : Stock prices are high.

q : Stock are rising

The symbolic form is p ↔ q.

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.4 [Page 10]

APPEARS IN

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


Write the following compound statement symbolically.

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


Construct the truth table of the following statement pattern.

(p ∧ q) ↔ (q ∨ r)


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


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.

I like playing but not singing.


Write the truth value of the following statement.

The Himalayas are the highest mountains but they are part of India in the North East.


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

London is in England.


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.

It is not true that 3 − 7i is a real number.


Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.


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:

p ↔ ~ q


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.

3 is prime number if 3 is perfect square number.


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.

It is not true that Ram is tall and handsome.


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

It is interesting iff the proof is lengthy.


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


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°”


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


The Boolean expression ∼(p ∨ q) ∨ (∼p ∧ q) is equivalent to ______ 


Write the following statement in symbolic form.

It is not true that `sqrt(2)` is a rational number.


Using truth table prove that:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×