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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.

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