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  1. k12.libretexts.org › Bookshelves › Mathematics2.12: Converse, Inverse, and Contrapositive Statements

    28 Νοε 2020 · Example \(\PageIndex{1}\) If \(n>2\), then \(n^{2}>4\). Find the converse, inverse, and contrapositive. Determine if each resulting statement is true or false. If it is false, find a counterexample. Solution. The original statement is true. \(\underline{Converse}\): If \(n^{2}>4\), then \(n>2\). False. If \(n^{2}=9\), \(n=−3\: or \: 3 ...

  2. math.libretexts.org › Bookshelves › Combinatorics_and_Discrete_Mathematics2.3: Converse, Inverse, and Contrapositive - Mathematics...

    contrapositive: If \(m\) is not an odd number, then it is not a prime number. converse: If \(m\) is an odd number, then it is a prime number. inverse: If \(m\) is not a prime number, then it is not an odd number.

  3. www.ck12.org › geometry › converse-inverse-and-contrapositive-statementsConverse, Inverse, and Contrapositive ( Read ) | Geometry

    30 Νοε 2023 · 1. Use the statement: If n> 2, then n2> 4. a) Find the converse, inverse, and contrapositive. b) Determine if the statements from part a are true or false. If they are false, find a counterexample. The original statement is true. Converse _: If n2> 4, then n> 2. False. n could be − 3, making n2 = 9. Inverse _: If n <2, then n2 <4.

  4. www.mometrix.com › academy › converse-inverse-and-contrapositiveConverse, Inverse, and Contrapositive Examples (Video)

    30 Αυγ 2024 · Here are the converse, inverse, and contrapositive statements based on the hypothesis and conclusion: Converse: “If figures are rectangles, then figures are all four-sided planes.” Inverse: “If figures are NOT all four-sided planes, then they are NOT rectangles.”

  5. flexbooks.ck12.org › 2 › primaryConverse, Inverse, and Contrapositive

    1 Οκτ 2024 · a) Find the converse, inverse, and contrapositive, and determine if the statements are true or false. If they are false, find a counterexamples. First, change the statement into an “if-then” statement: If two points are on the same line, then they are collinear. Converse _: If two points are collinear, then they are on the same line. T r u e.

  6. flexbooks.ck12.org › primary › lessonConverse, Inverse, and Contrapositive

    5 ημέρες πριν · Examples. Example 1. If n> 2, then n 2> 4. Find the converse, inverse, and contrapositive. Determine if each resulting statement is true or false. If it is false, find a counterexample. The original statement is true. Converse _: If n 2> 4, then n> 2. F a l s e. If n 2 = 9, n = − 3 or 3. (− 3) 2 = 9 Inverse _: If n ≤ 2, then n 2 ≤ 4. F a l s e.

  7. www.thoughtco.com › converse-contrapositive-and-inverse-3126458What Are Converse, Contrapositive, and Inverse? - ThoughtCo

    3 Αυγ 2024 · The converse of the conditional statement is “If Q then P.”. The contrapositive of the conditional statement is “If not Q then not P.”. The inverse of the conditional statement is “If not P then not Q.”. We will see how these statements work with an example.