Let sets A through F be defined as follows.

A = {000}
B = {111}
C = {0x: x ∈ {0, 1}^2}
D = {01x: x ∈ {0, 1}}
E = {1x: x ∈ {0, 1}^2}
F = {00x: x ∈ {0, 1}}

(a) Give two different partitions of the set {0, 1}^3 using one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition. Ex: A, B, C.

Step-by-step explanation: see attachment below

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: