What assignments to x and y will make the following expression true?(( x && y) || !x )Group of answer choicesx = true, y = falsex = false, y = falsex = true, y = truex = false, y = true
Question
What assignments to x and y will make the following expression true?(( x && y) || !x )Group of answer choicesx = true, y = falsex = false, y = falsex = true, y = truex = false, y = true
Solution
The assignments that will make the expression true are:
x = true, y = true x = false, y = false x = false, y = true
Here's why:
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If x = true and y = true, then (x && y) = true and (!x) = false. So, the whole expression becomes (true || false) which is true.
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If x = false and y = false, then (x && y) = false and (!x) = true. So, the whole expression becomes (false || true) which is true.
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If x = false and y = true, then (x && y) = false and (!x) = true. So, the whole expression becomes (false || true) which is true.
The only assignment that will not make the expression true is x = true, y = false. In this case, (x && y) = false and (!x) = false. So, the whole expression becomes (false || false) which is false.
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