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Give the Proofs in Mathematics ?
1 Two-column deductive proof
Proof:Statements Reasons* Start with given conditions or * Given information with a conclusion based on a diagram * Definitions and label all the statements sequentially. * Postulates* Develop a chain of reasoning. Write * Previously proved theorems each logical step as a separate statement * Algebraic properties with a corresponding reason. * Continue the above steps until a statement corresponding to the conclusion of the original argument is reached.
The two-column deductive proof uses a direct method to prove an argument in a finite number of sequential steps. In geometry, the two-column deductive proof is the most common and powerful method and is usually referred to as a "formal" proof.
2 Indirect method of proof
1. From the given information, list all the possibilities including the given conclusion.
2. Prove that all possibilities other than the given conclusion are false.
3. Therefore, only the given conclusion is true.
3 Counterexample proof
poa is a straight line in circle,wher o is center of circle,b is any pointjoined with p.prove that pa>pb
Taking 2^x=m and solving the quadratic for getting D>=0 we get range= [3/4 , infinity )
A palm tree of heights 25m is broken by storm in such a way that its top touches the ground at a distance of 5m from its root,but is not separated from the tree.Find the height at
What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li
Volumes for Solid of Revolution Before deriving the formula for it we must probably first describe just what a solid of revolution is. To find a solid of revolution we start o
similar triangles diagram
one half y minus 14
1,500cm m
5:9 and 3:5 then find a:b:c?
jamal works every morning in his garden. yesterday he worked 3 AND 3-4HOURS. HE SPENT 1-3 OF THE TIME PULLING WEEDS. HOW MANY HOURS DID JAMAL SPEND PULLING WEEDS?
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