Conditional Statement Math Example 4

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Example 4

medium
Identify the hypothesis and the conclusion in the statement: 'If a number is divisible by 4, then it is even.'

Solution

  1. 1
    In a conditional 'If P, then Q', the part after 'if' is the hypothesis.
  2. 2
    So the hypothesis is 'a number is divisible by 4' and the conclusion is 'it is even.'

Answer

Hypothesis: the number is divisible by 4. Conclusion: the number is even.
A conditional statement has two parts: the starting assumption and the claimed result. Separating those parts clearly is essential before working with converse, inverse, or contrapositive forms.

About Conditional Statement

A conditional P→QP \to Q is a statement meaning "if PP is true, then QQ must be true," read as "if PP then QQ."

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More Conditional Statement Examples

Example 1 easy

Write the converse, inverse, and contrapositive of: 'If a number is divisible by 6, then it is divis

Example 2 medium

Determine the truth value of: 'If [formula], then [formula].'

Example 3 easy

Identify the hypothesis and conclusion in: 'If it rains, then the ground is wet.'

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