Solutions of Proof Of Mathematical Statements from Mathematics Class - 10 Chhattisgarh Board

This topic teaches us how to prove mathematical statements. Each statement is logically deduced from a previous statement in the proof, or theorem proved earlier, or hypotheses. Important aspects of proof are also discussed.

This topic helps the students in understanding proofs. The main tool we use in constructing proof is the process of deductive reasoning. Thus, we begin to understand each proof one by one as the topic goes on.

This topic teaches about symbols and mathematical statements. In mathematics, along with theorems and statements, we also have symbols for the logical connectives. It also provides a list of symbols and their meanings.

This topic elaborates on the methods of proving mathematical statements. A few methods discussed in the text include direct proof, proof by mathematical induction, proof by contraposition, proof by contradiction, etc.

This topic focuses on proving some more statements. Some methods discussed include proof by construction, proof by exhaustion, combinatorial proof, etc. Each proof is further explained with some examples.