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Let a represent "We go to school on Memorial Day", Let b represent "Memorial Day is a holiday" and let c represent "We work on Memorial Day"

Match the sentence to its symbolic form, Sentences below and symbolic forms below sentences

We work on Memorial Day if and only if we go to school on

Memorial Day.

We work on Memorial Day or Memorial Day is a holiday.

If we do not go to school on Memorial Day, then we work on

Memorial Day

Memorial Day is a holiday and we do not go to school on

Memorial Day.

If we go to school on Memorial Day, then we work on Memorial Day.

c V b, a V b, b V c, b^~a, b^a, ~b^~a, a➡️c, a➡️b, ~a➡️~c, ~a➡️c, a➡️~c, ~c➡️a, c⬅️➡️b, b⬅️➡️a are the Symbolic forms

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S1m1go S1m1go · Answer 1

Answer:

Step-by-step explanation:

1. Match the letters a, b, and c with their statement.

a = "We go to school on Memorial Day"

b = "Memorial Day is a holiday"

c = "We work on Memorial Day"

2. Underline the key words ( that have symbols)

We work on Memorial Day if and only if we go to school on Memorial Day.

We work on Memorial Day or Memorial Day is a holiday.

If we do not go to school on Memorial Day, then we work on Memorial Day.

Memorial Day is a holiday and we do not go to school on Memorial Day.

If we go to school on Memorial Day, then we work on Memorial Day.

3. Use the symbols and the letters.

We work on Memorial Day if and only if we go to school on Memorial Day.

c ⇔ a

We work on Memorial Day or Memorial Day is a holiday.

c V b

If we do not go to school on Memorial Day, then we work on Memorial Day.

~a ⇒ c

Memorial Day is a holiday and we do not go to school on Memorial Day.

b ∧ ~a

If we go to school on Memorial Day, then we work on Memorial Day.

a ⇒ c