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Identities, Contradictions and Conditional Equations

Gain insights into identities that are always true, contradictions that never hold, and conditional equations that are true only under certain values. Learn the concepts behind these mathematical principles.

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Identities, Contradictions and Conditional Equations

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  1. Identities, Contradictions and Conditional Equations

  2. Conditional Equations A conditional equation is true for certain values of the variable and false for others. When we think of solving an equation and getting an answer, we are thinking about a conditional equation. This equation is only true on the condition that x = 5.

  3. Contradictions A contradiction is never true. It is false for every value of the variable. 3 can never = 5 This is a contradiction; it has no solution.

  4. Identities An identity is always true. It is true for every value of the variable. 3 always equals 3 This is an identity; it is true for all real numbers.

  5. Identities, Contradictions and Conditional Equations

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