Question

Assume the variables \(a=2, b=4,\) and \(c=6 .\) Circle the \(T\) or \(F\) for each of the following conditions to indicate whether its value is true or false. a == 4 or b > 2 T F 6 <= c and a > 3 T F 1 != b and c != 3 T F a >= ?1 or a <= b T F not (a > 2) T F

Short answer

1. a == 4 or b > 2 2. 6 <= c and a > 3 3. 1 != b and c != 3 4. a >= -1 or a <= b 5. not (a > 2)

Step-by-step solution

Evaluate condition 1: a == 4 or b > 2

We need to check if a is equal to 4 or if b is greater than 2. Since \(a = 2\), \(a\) is not equal to 4, but as \(b = 4\) and \(4 > 2\), the condition is true. So, the answer is T (True).

Evaluate condition 2: 6 3

We need to check if 6 is less than or equal to \(c\) and if \(a\) is greater than 3. As \(c = 6\), \(6 \leq 6\), but as \(a = 2\), \(2\) is not greater than \(3\), so the condition is false. So, the answer is F (False).

Evaluate condition 3: 1 != b and c != 3

We need to check if \(1\neq b\) and if \(c\neq 3\). Since \(b = 4\), \(1\) is not equal to \(b\). And as \(c = 6\), \(c\) is not equal to 3. So, the condition is true. So, the answer is T (True).

Evaluate condition 4: a >= ?1 or a

We need to check if \(a\) is greater than or equal to \(-1\) or \(a\) is less than or equal to \(b\). Since \(a = 2\), \(a\) is greater than or equal to \(-1\). Also, as \(a = 2\) and \(b = 4\), \(a\) is less than or equal to \(b\). At least one of the conditions is true, so the overall condition is true. So, the answer is T (True).

Evaluate condition 5: not (a > 2)

We need to check if it's not true that \(a > 2\). Since \(a = 2\), it's not greater than 2, so the condition "not (a>2)" is true. So, the answer is T (True).