Work Step by Step
You can rewrite each statement as a conditional, and reorder them so that each hypothesis follows the conditional with its matching conclusion. The Law of Syllogism can then be used to combine the conditionals, with the end result being a conditional with the first hypothesis and the last conclusion. If it is Tuesday, then it is the night of your weekly basketball game. If it is the night of your weekly basketball game, then your family eats at your favorite restaurant. If your family eats at your favorite restaurant, then you order chicken fingers. We can conclude: If it is Tuesday, then you order chicken fingers. The specials board tells us that chicken fingers are \$5.99 on Tuesday.