Question

1. p
2. p ∧ q
3. p ∨ q
4. some students who take band also take art. if jack takes art but not band, shade the area on the diagram where he would belong.
5. there are three classes offered at the craft store: photography, cake decorating, and scrapbooking. if sarah is signed up for photography and scrapbooking, but not cake decorating, shade the area on the diagram where she would belong.

directions: describe each venn - diagram using a conditional or compound statement.
10.

Explanation:

Step1: Analyze Jack's situation

Jack takes art but not band. In the Band - Art Venn - diagram, he belongs to the non - overlapping part of the Art circle.

Step2: Analyze Sarah's situation

Sarah is signed up for photography and scrapbooking but not cake decorating. In the three - circle Venn - diagram (Photography, Cake Decorating, Scrapbooking), she belongs to the overlapping part of the Photography and Scrapbooking circles that is outside the Cake Decorating circle.

Step3: Describe the Venn - diagram in 10

All squares are rectangles. So the conditional statement is: If a shape is a square, then it is a rectangle.

Answer:

1. Shade the non - overlapping part of the Art circle in the Band - Art Venn - diagram.
2. Shade the overlapping part of the Photography and Scrapbooking circles that is outside the Cake Decorating circle in the three - circle Venn - diagram.
3. If a shape is a square, then it is a rectangle.