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Answer all
of the questions pertaining to each binary operation shown below.
When you are finished with each question, check the answer box to
see if your solutions are correct. |
| 1. |
Operation
is defined on the set
{
m, a, t, h }
as shown in the table below:
a. Is this operation commutative?
b. Name the identity element, or explain why none
exists.
c. For each element having an inverse, name the
element and its inverse.
d. True or false:
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| 2. |
Operation
is defined on the set {
a, b, c, d
}as shown in the
table below:
a. Is this operation
commutative?
b. Name the identity element, or explain why none
exists.
c. For each element having an inverse, name the
element and its inverse.
d. True or false:
d
(c
b) = (d
c )
b
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| 3. |
Operation
is defined on the set
{
1, 2, 3, 4
} as shown in the
table below:
a. Is this operation
commutative?
b. Name the identity element, or explain why none
exists.
c. For each element having an inverse, name the
element and its inverse.
d. True or false:
(1
2)
3 = 1
(2
3)
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5. |
Given:
What is the value of
? |
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Choose:
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6. |
Given:
What is the value of
? |
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Choose:
|
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,
,
,
}
as shown in the table below:
