The set $D_1$ consists of three students: Garth, who is 5 feet 11 inches tall; Erin, who is 5 feet 6 inches tall; and Marty, who is 6 feet tall. The set $D_2$ consists of four students: Dale, who is 5 feet 11 inches tall; Garth, who is 5 feet 11 inches tall; Erin, who is 5 feet 6 inches tall; and Mary, who is 6 feet tall. The set $D_3$ consists of one student: Dale, who is 6 feet tall. The set $D_4$ consists of three students: Part, Sandy, and Gal, each of whom is 5 feet 11 inches tall. $T_1(x,y)$ is the propositional function "x is taller than y." Tell whether each proposition is true or false if the domain of discourse is $D_i\times D_j$ for the given values of i and j.

1. $\forall x\forall yT_1(x,y)$
2. $\forall x\exists yT_1(x,y)$
3. $\exists x\forall yT_1(x,y)$
4. $\exists x\exists yT_1(x,y)$

i=4, j=1

Rewrite the following paragraph, adding, deleting, or changing any end marks and commas to correct the numbered word groups that are incorrectly punctuated.

EXAMPLE: In looking through a United States atlas have you cver been tempted to use it, as a menu to create a meal of places named for foods. In looking through a United States atlas, have you ever been tempted to use it as a menu to create a meal of places named for foods?*

For an appetizer, that will take the edge off your family's hunger, without filling them up why not serve a relish tray assembled from Pickleville in Utah. Olive in Montana, and Pepperton in Georgia, along with Rolls from Arizona and Indiana and Butters from North Carolina

Find the product or quotient. Express using exponents.

$$\left( n ^ { 4 } \right) \left( n ^ { 4 } \right)$$