q#7 You want to buy three items at the store to make your favorite snack; (1) peanut butter, (2) jelly and (3) bread. The prices of the items vary as follows: Peanut butter is either $3, $4, or $5 Jelly is either $3.50, $4.50, or $5.50 Bread is either $3.25 or $4.25 1. Prove the following conditional statement directly. You're welcome to use cases as necessary. If peanut butter is not $3 today, then it is possible that peanut butter is the most expensive item. 2. Prove the following conditional statement by contrapositive. You're welcome to use cases as necessary. If peanut butter is not the cheapest item, then peanut butter is not $3 today.

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ISBN:9780470458365
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You want to buy three items at the store to make your favorite snack; (1) peanut butter,
(2) jelly and (3) bread. The prices of the items vary as follows:
Peanut butter is either $3, $4, or $5
Jelly is either $3.50, $4.50, or $5.50
Bread is either $3.25 or $4.25
1. Prove the following conditional statement directly. You're welcome to use cases as
necessary.
If peanut butter is not $3 today, then it is possible that peanut butter is the most
expensive item.
2. Prove the following conditional statement by contrapositive. You're welcome to use
cases as necessary.
If peanut butter is not the cheapest item, then peanut butter is not $3 today.
Transcribed Image Text:q#7 You want to buy three items at the store to make your favorite snack; (1) peanut butter, (2) jelly and (3) bread. The prices of the items vary as follows: Peanut butter is either $3, $4, or $5 Jelly is either $3.50, $4.50, or $5.50 Bread is either $3.25 or $4.25 1. Prove the following conditional statement directly. You're welcome to use cases as necessary. If peanut butter is not $3 today, then it is possible that peanut butter is the most expensive item. 2. Prove the following conditional statement by contrapositive. You're welcome to use cases as necessary. If peanut butter is not the cheapest item, then peanut butter is not $3 today.
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