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Level 149

Conditional Statements

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conditional statement
a logical statement containing two parts: hypothesis and conclusion.
an educated guess
Negation of a statement
P is "not P" written as ̴ p
converse statement
if q, then p
Inverse statement
if ~p, then ~q
Contra-positive statement
̴ Q --> ̴ P
Bi-conditional statement
P if and only Q
If-then form
the "if" part contains the hypothesis and the "then" part contains the conclusion.
Tells if your hypothesis was correct; supported or not supported
(noun) A statement that switches the hypothesis and conclusion
Adding "not" or removing it
reversed (turned backward) in order or nature or effect
when the hypothesis and the conclusion of a converse of a conditional statement are negated
equivalent statements
have the same truth value
Perpendicular lines
lines in a plane that intersect to form 4 right angles
Line Perpendicular to a Plane
a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it
Biconditional Statement
p if and only if q
Law of Detachment
is p-->q is true, then p is true, and q is true
Law of Syllogism
if p-->q and q-->r are true, then p-->r is true
Logical Argument
an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order
- conditional statements
Types of Statements used in logical argument
Conditional statements
statements written using if & then
The hypothesis (the "if" statement)
Two parts of the conditional statements
If hypothesis then conclusion
how to write a conditional statement
a + (-a) = 0 = (-a) + a OR a * 1/a = 1 = 1/a * a; a cant be 0
an if-then statement
Conditional statement where both the converse and inverse are true and uses the phrase "if and only if"