Self-study
Interior decorator: All coffeehouses and restaurants are public places. ████ █████████████ ██████ ██████ ███████ ████████ ███ ██ █ ██████ █████ ██ █████████████ ██ ██ ███ ████ █████████ ███ ███ ███████████ ██████ ██████ ████ ████████ ██████████
Summary
All coffeehouses are public places.
All restaurants are public places.
Most well-designed public places feature artwork.
If a public place is uncomfortable it is not well-designed.
All comfortable public places have spacious interiors.
Notable Valid Inferences
We can connect the conditional statements in the last sentence. If a public place is well-designed, that means it is comfortable. That in turn means the well-designed public place has a spacious interior.
25.
If all of the interior ███████████ ██████████ ███ █████ ████ █████ ███ ██ ███ █████████ ████ ██ █████
a
Any restaurant that ███ █ ████████ ████████ ██ ████████████
Could be false. We know all public places that are comfortable have spacious interiors. That doesn’t imply all public places with spacious interiors are comfortable. They might be uncomfortable places despite having spacious interiors.
b
Most public places ████ ███████ ███████ ███ ████ █████████
Could be false. We know most well-designed public places feature artwork. That doesn’t mean most public places featuring artwork are well-designed. Most A is B doesn’t imply Most B is A.
c
Most coffeehouses that ███ ████ ████████ ███████ ████████
Could be false. We know most well-designed public places feature artwork. Coffeehouses are just one kind of public place. The well-designed public places that feature artwork might just be other kinds of public places besides coffeehouses.
d
Any well-designed coffeehouse ██ ██████████ ███ █ ████████ █████████
Must be true. Coffeehouses and restaurants are public places. So, if they’re well-designed, they must be comfortable. If they’re comfortable, they have a spacious interior.
e
Any coffeehouse that ███ █ ████████ ████████ ██ █ █████████████ ██████ ██████
Could be false. We know well-designed public places have spacious interiors. That doesn’t imply all public places with spacious interiors are well-designed. There could be some public places with spacious interiors that are not well-designed.