Advertisements
Advertisements
Question
Find the truth value of the following statement.
If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.
Advertisements
Solution
Let p : A joint venture is a temporary partnership. q : Discount on purchase is credited to the supplier.
The truth value of p and q are T and F respectively.
The given statement in symbolic form is p → q.
∴ p → q ≡ T → F ≡ F
∴ Truth value of the given statement is F.
APPEARS IN
RELATED QUESTIONS
Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p
Construct the truth table of the following statement pattern.
p → [∼ (q ∧ r)]
Construct the truth table of the following:
(∼p ∨ ∼q) ↔ [∼(p ∧ q)]
Express the following statement in symbolic form.
Milk is white or grass is green.
Express the following statement in symbolic form.
I like playing but not singing.
Write the truth value of the following statement.
16 is an even number and 8 is a perfect square.
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.
Assuming that the following statement is true,
p : Sunday is holiday,
q : Ram does not study on holiday,
find the truth values of the following statements.
Sunday is not holiday or Ram studies on holiday.
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement:
p ↔ ~ q
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.
Kavita is brilliant and brave.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
x3 + y3 = (x + y)3 if xy = 0.
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.
Write the negation of the following.
If ∆ABC is not equilateral, then it is not equiangular.
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are high or stocks are not rising iff stocks are rising.
Write the negation of the following statement.
∀ n ∈ N, n + 3 > 9.
A biconditional statement is the conjunction of two ______ statements.
Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r)
Negation of “Some men are animal” is ______.
If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.
If p, q are true statement and r is false statement, then which of the following statements is a true statement.
If q: There are clouds in the sky then p: it is raining. The symbolic form is ______
The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______
Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."
From the following set of statements, select two statements which have similar meaning.
- If a man is judge, then he is honest.
- If a man is not a judge, then he is not honest.
- If a man is honest, then he is a judge.
- If a man is not honest, then he is not a judge.
Using the statements
p: Seema is fat,
q: Seema is happy,
Write the following statements in symbolic form;
- Seema is thin and happy.
- If Seema is fat then she is unhappy.
Construct the truth table for the statement pattern:
[(p → q) ∧ q] → p
