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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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