What assignments to x and y will make the following expression true? Mark all that apply

(x && y) || y

Question

What assignments to x and y will make the following expression true? Mark all that apply

(x && y) || y

BlackTom AI · Accepted Answer

We start by understanding the expression: (x && y) || y. This means the overall result is true if y is true, regardless of x, because y OR (anything that includes y) will cover the case when y is true.

Option 1: x = true, y = false. Here y is false, and x && y is (true && false) = false. So (x && y) || y becomes false || false = false. This option does not make the expression true.

Option 2: x = false, y = false. In this case, x && y is (false && false) = false. Then (x && y) || y is false || false = false. This option also fails to make the expression true.

Option 3: x = false, y = true. Now y is true, and x && y is (false && true) = false. The overall expression is false || true = true. This option makes the expression true.

Option 4: x = true, y = true. Here y is true, and x && y is (true && true) = true. The expression becomes true || true = true. This option also makes the expression true.

Summary view: the expression evaluates to true exactly when y = true, regardless of x. Therefore, the options that satisfy the condition are those with y set to true, namely the third and fourth options.

CSE 1223 SP2025 (37178) Quiz: Week 04

What assignments to x and y will make the following expression true? Mark all that apply (x && y) || y

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