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The table below shows the value of a predicate M(x, y) for every possible combination of values of the variables x and y. The domain
The table below shows the value of a predicate M(x, y) for every possible combination of values of the variables x and y. The domain for x and y is {1, 2, 3}. The row number indicates the value for x and the column number indicates the value for y. For example M(1, 2) = F because the value in row 1, column 2, is F.
M | 1 | 2 | 3 |
1 | T | F | T |
2 | T | F | T |
3 | T | T | F |
Indicate whether each of the logical expressions is a proposition. If so, indicate whether the proposition is true or false.
(a)
M(1, 1)
(b)
y M(x, y)
(c)
x M(x, 3)
(d)
x y M(x, y)
(e)
x y M(x, y)
(f)
M(x, 2)
(g)
y x M(x, y)
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