Lesson 6: Types of Conditional Statements Flashcards
A _______ is a compound statement of the form of “If p then q” where p and q are statements.
Conditional Statement
The first statement, p, is called hypothesis and usually begins with “if”, while the second statement, q, which usually begins with “then”, is called conclusion.
Parts of a Conditional Statement
The __________ of a conditional statement is a statement wherein the hypothesis and the conclusion are interchanged.
Converse Statement
converse
In symbols, the _______ of a conditional statement is a statement of the form “if q, then p” and can be written as q → p.
Converse Statement Symbol
Whenever its conditional and its converse are both true, these statements are called _____.
Biconditional Statement
_____ statements may be written in the “if-and-only-if” form. In symbols, _____ statements are written as p ↔ q.
Biconditional Statement Symbol
biconditional
____a conditional statement is determined by negating both the hypothesis and the conclusion.
Inverse Statement
The inverse of
___ conditional statement p → q can be written as ~p → ~q and is read as “not p implies not q.”
Inverse Statement Symbol
The inverse of the
are formed by negating both the hypothesis and the conclusion of the conditional and interchanging their positions.
Contrapositive statements
______of the conditional takes the form ~q → ~p and is read as “if not q, then not p.”
The contrapositive statement
Contrapositive Statement Symbol
If you were born in Cebu, then you’re a Cebuano.
Conditional Statement
If you were born in the Philippines, then you are a Filipino citizen.
Conditional Statement
If a function is quadratic, then its graph is parabolic.
Conditional Statement
An angle whose degree measure is between 90 and 180 is obtuse.
Conditional Statement
Two lines that do not meet are parallel.
Conditional Statement
If it is raining, then the ground is wet.
Conditional Statement
If a figure is a square, then it has four equal sides.
Conditional Statement
If a number is divisible by 4, then it is divisible by 2.
Conditional Statement
If you are not a licensed driver, then you did not pass the examination given by the Land Transportation Office.
Inverse Statement
If a number is not divided by 0, then the result is defined.
Inverse Statement
If you don’t have stronger teeth and bones, then you don’t drink enough milk.
Contrapositive Statement
If I will not have money in the future, then I didn’t save money now.
Contrapositive Statement
A figure is a square if and only if it has four equal sides.
Biconditional Statement
Two lines do not meet if and only if they are parallel.
Biconditional Statement
