Use letters A, T, E for the component statements, translate the following compou

Question

Use letters A, T, E for the component statements, translate the following compound statements into symbolic notation. a. If Anita wins the election, then tax rates will be reduced.

b. Tax rates will be reduced only if Anita wins the election and the economy remains strong.

c. Tax rates will be reduced if the economy remains strong.

d. A strong economy will follow from Anita winning the election.

e. The economy will remain strong if and only if Anita wins the election or tax rates are reduced.

Statements letters: Capital letters like A, B, C, D, etc are used to represent statements Logical connectives: , Symbols like , V,-> ,, , A: and V: or . implies equivalent ."negation

Explanation / Answer

T: Tax rates will be reduced

A: Anita wins the election

E: Economy remains strong

a. A -> T

b. (A and E) -> T

c. E -> T

d. A -> E

e. (A or T) <-> E

If statements are easily dont by ->. Statement 4 can be easily seen as another if statement. If and only if is a <-> (double implies) statement.

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