A set of propositions is listed. Draw a Venn diagram that represents all the information in the propositions and use it (and no other assumptions) to answer the question. Explain your reasoning.All cars have wheels. All trucks have wheels. Some toys have wheels. No grandmothers have wheels.Question: Could a car be both a truck and a toy?
What will be an ideal response?
Answers may vary. One possibility:
Yes, a car could be both a truck and a toy. We know from the first two propositions that the set "cars" and the set "trucks" are subsets of the set "things that have wheels," but we do not know whether the two subsets are disjoint or overlapping or whether one is a subset of the other. We know from the third proposition that the set "toys" overlaps the set "things that have wheels," but we do not know whether it also overlaps either or both of the sets "cars" and "trucks." Depending on whether or not "cars," "trucks," and "toys" overlap; the regions a, b, c, and d may or may not have any elements. Since region b might have elements, a car could be both a truck and a toy.
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Fill in the blank(s) with the appropriate word(s).
Determine whether the ordered pair is a solution to the linear inequality.6x + 4y ? 14; (1, 2)
A. Yes B. No
For the function, find the average rate of change of f from 1 to x: 
f(x) = 
A. 
B. 
C. 
D. 
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A. 2 (second row, second column) B. 5 (second row, first column) C. 5 (first row, first column) D. 3 (first row, second column)