LOGICAL EQUIVALENCE AND CONDITIONAL PROPOSITIONS | General Mathematics | Quarter 2 - Module 17

LOGICAL EQUIVALENCE AND CONDITIONAL PROPOSITIONS
At the end of this video lesson, you are expected to:
1. Illustrates the different forms of conditional propositions.
2. Verify the logical equivalences.
3. State the converse, contrapositive, and inverse of a conditional proposition.
4. Clarify a real – life instance using logical equivalence and conditional proposition.

[Krbby_Patty]

Hannah Patricia C. Mayoyo
11 Stem Proverbs

In this video lesson, I learned that the two proposition term (q and p) are logically equivalent if they have the same values in the truth table. I also learned about the three conditional statements that could illustrate conditional propositions which are: converse, contrapositive and lastly inverse.

[cathrionapebenito]

Cathriona Pe Benito
11 HUMSS Judges
In this Video Lesson, I learned that when two proposition p and q have the same values in the truth table it is logically equivalent. I also learned about the table of logical equivalencea wjich contains a lot of law.

[judyn.macailao]

Judy N Macailao
11 ABM EZEKIEL
-In this video lesson, I learned that a conditional statement is defined as p q and is of the portion "if p, then q", and i also learned that logical operators connect's preposition and compound.

[altheaiveesaptang]

Althea Ivee Saptang
11 ABM EZEKIEL

-In this videos lesson, I learned how to illustrate the different forms of conditional position, how to verify the logical equivalences.I learned that the proportion are equal or logically equivalent if they are always have the same truth value that is p and q are logically equivalent if p is false whenever q is false, and vice versa, and if the p if true whenever q is false, and vice versa, and if the p and q are logically equivalent, we write p=q.I learned also that a conditional statement is defined as p q and is of the portion "if p, then q".

[janellem.labador]

Janelle M. Labador
11-ABM PETER

In this video lesson, I learned about the logical equivalence and conditional proposition. Logical equivalence has a table with a different types of law and also I learned about that two propositions, p and, q are said to be logically equivalent if they have the same values in the truth table.

[krishamaeesteban]

Krisha Mae Esteban
11 ABM EZEKIEL

Two proposition are said to be logically equivalent if they have the same value in the truth table.Conditional proposition p implies q can be illustrated in three conditional statements the Converse, inverse and contrapositive.

[marcbalmores]

Marc Joshua F. Balmores
11-STEM PROVERBS
In this video lesson, I learned that Logical operators connects preposition and compound ones. that conditional propositions p → q are said to be logically equivalent .While in two propositions p and q area logically equivalent and all truth values are true. then when proposition are perfectly alike their biconditional will yield values that are true.

[carlocunanan]

Carlo E. Cunanan
11-Humss(Judges)
In this video I learned that a conditional statement is expressed as p q and has the form "if p, then q." ... If a b is always true (i.e. a and b have the same truth value), two propositions a and b are logically identical, and this is expressed as a b.

[franciscodanicapascua]

Danica P. Francisco
11-STEM PROVERBS
In this video lesson I learned that Two propositions p and q are logically equivalent, denoted by p⇔ q, if they have the same truth values for all possible truth values of their simple components.Given propositions p and q. There are three propositions that we can derive from conditional p→q, namely, its
(a) converse: q→p
(b) contrapositive: ~q→~p
(c) inverse: ~p→~q
Logical equivalences of conditionals, we have shown a proposition and its contrapositive are logically
equivalent. Also a proposition's converse and inverse are logically equivalent.

[jessicaevangelista]

Jessica Y. Evangelista
11-ABM EZEKIEL

In this video lesson, i learned that conditional statement is logically equivalent to its contrapositive. Converse: Suppose a conditional statement of the form "If p then q" is given. The converse is "If q then p." Symbolically, the converse of p q is q p.

[erirosesaavedra]

Erirose M. Saavedra
11-Genesis(BNP)

In this video lesson, I learned that the propositions are equal or logically equivalent if they always have the same thruth value.this is p, and q are logically equivalent if p is true whenever q is true, and vice versa, and p is false whenever q is false and vice versa.

[estabilloviancamarcosb]

Vianca M. Estabillo
11-Proverbs (STEM)

In this video lesson, I learned that if propositions p and q have the same values in the truth value and the biconditional proposition is tautology, then it is said to be logically equivalent. I have also learned the that conditional proposition can be illustrated in conditional statements such as converse (q->p), contrapositive (~q)->(~p), and inverse (~p)->(~q).

[kimmacadangdang]

Kim R. Macadangdang
11 Humss Judges
in this video lesson, i learned that a conditional proposition is a proposition of the form “if p then q” or “p implies q”, represented “p → q” is called a conditional proposition.

[adonisramos]

Adonis Ramos
11-Proverbs (STEM)

In this video lesson, I learned that when propositions are perfectly alike, their biconditional will yield values that are all true. If they are both true or false then it could be done with biconditional.

[navarrojahelsumaoangb]

Navarro Jahel S.
11- PROVERBS

In this video lesson I have learned that, two propositions, p and q are said to be logically equivalent if they have the same values in the truth table. Also the Conditional proposition-p》q could illustrate three other conditional statements.
▪︎ Inverse (~p) then (~q)
▪︎ Converse q then p
▪︎ Contrapositive (~q) then (~p)

[handrianepontanesrubio]

Handriane P. Rubio
11 ABM Ezekiel

In this video lesson, I learned on how to illustrates the different forms of conditional propositions. Verify the logical equivalences. State the converse, contrapositive, and inverse of a conditional proposition. And clarify a real-life instance using logical equivalence and conditional proportions.

[trishiamaedecastro]

TRISHIA MAE D DECASTRO
11-JUDGES (HUMSS)

In this vedio lesson, I learned that the logical equivalence means two proposition has the same value in the truth table, and conditional proposition can be illustrated in three conditional statement whether it's converse, contrapositive or inverse statement.

[geo]

Geojan Fischer
11 humss judges

In this video lesson I learned that The propositions are equal or logically equivalent if they always have the same truth value. That is, p and q are logically equivalent if p is true whenever q is true, and vice versa, and if p is false whenever q is false, and vice versa. If p and q are logically equivalent, we write p = q.

[mariaisabelramilo]

Maria Isabel C. Ramilo
11- HUMMS(JUDGES)

What i learn from this lesson is that two propositions p and q are said to be logically equivalent if they have the same values in the truth table and if the biconditional p<->q is a tautology and i also learned what is the table of logical equivalence with different laws and i also learned that conditional proposition p<->q can also be illustrated in future conditional statements and i also learned that a conditional and its contrapositive are logically equivalent. In the same manner, based on a given conditional proposition, its converse and inverse are logically equivalent.

[diazangelstephaniedelotina]

Diaz, Angel Stephanie D.
11-Stem Proverbs

In this video lesson, I learned that The hypothesis is false, so the Conditional Proposition is True regardless of whether the conclusion is true or not. Logically Equivalent - Statements are logically equivalent if they share the same truth tables. Therefore, a Conditional statement and its Contrapositive are logically equivalent.