conditional statements


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C5
We explain C5 with the following example. Consider the statement "either the monsoon break in June or the rivers are dried" Let p: The monsoon does not break in june q: rivers are dried Clearly 'if p then q' is true if p is true and q is true. That is, the conditional st..
Geometry And Measurement
Definitions, postulates, reasoning, theorems Euclidean/non-Euclidean geometries Coordinate, transformational, axiomatic systems Conditional statements Properties of geometric figures Inductive/deductive reasoning Tessellations Pythagorean Theorem Coordinate systems M..
Geometry And Measurement
Logical reasoning Geometric proofs Euclidean/non-Euclidean geometries Formal/informal proofs Conditional statements Pythagorean Theorem Intersection of a plane with 3-d figures Congruence, similarity, triangle inequality theorem Properties of quadrilaterals, circles, p..
Summary Linear Equations in One Variable
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation, we tr..
Arguments and their Validity
A compound proposition is a tautology if it is always true for all possible combination of the truth values of its components. If a compound proposition which is always false for all possible combination of the truth values, of its components then it is called a contradiction. Consider two compound..
Summary
A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the binary operations. Moreover, for all x B, there exist..
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