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Write the truth values of the following ...

Write the truth values of the following statement
2 is a rational number and `sqrt(2)` is an
irrational number.

Text Solution

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Let p : 2 is a rational number
` q : sqrt(2)` is an irrational number
` therefore ` Given compound statement ` = p vvq `
Truth value of p is 'T and q is T .
` therefore ` Truth value `p `vv ` q is T v T = T
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Knowledge Check

  • If x is a rational number and y is an irrational number, then

    A
    Both x + y and xy are necessarily irrational.
    B
    Both x + y and xy are necessarily rational.
    C
    xy is necessarily irrational, but x + y can be either rational or irrational.
    D
    x+y is necessarily irrational, but xy can be either rational or irrational.

  • If x be a rational number and y be an irrational number, then :

    A
    both `x + y` and `xy` are necessarily irrational
    B
    both `x + y` and `xy` are necessarily rational
    C
    `xy` is necessarily irrational, but x + y can be either rational or irrational
    D
    `x + y` necessarity irrational , but xy can be either rational or irrational

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