Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20." - Mathematics and Statistics

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Sum

Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."

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Solution

Let p: 2 + 5 = 10;

q: 4 + 10 = 20

Converse: q → p

If 4 + 10 = 20

Then 2 + 5 = 10

Inverse: ∼ p → ∼ q

lf 2 + 5 ≠ 10

Then 4 + 10 ≠ 20

Contrapositive: ∼ q →∼ p

lf 4 + 10 ≠ 20

Then 2 + 5 ≠ 10.

  Is there an error in this question or solution?
2021-2022 (March) Set 1

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