Question

directions: for the question or incomplete statement below, two of the suggested answers are correct. no partial credit will be earned if only one correct choice is selected. select the two that are best.
which of the following boolean expressions are equivalent to the expression:
num ≥ 15?
select two answers.
□ not (num < 15)
□ not (num < 16)
□ (num > 15) or (num = 15)
□ (num > 15) and (num = 15)

Explanation:

Step1: Analyze NOT(num < 15)

The expression \(num\geq15\) means \(num\) is 15 or greater. The negation of \(num < 15\) (i.e., NOT(\(num < 15\))) is also \(num\geq15\).

Step2: Analyze (num > 15) OR (num = 15)

The logical OR operation. If \(num>15\) is True or \(num = 15\) is True, then the whole expression is True. This is equivalent to \(num\geq15\).

Step3: Analyze NOT(num < 16)

The negation of \(num < 16\) (i.e., NOT(\(num < 16\))) is \(num\geq16\), which is not equivalent to \(num\geq15\).

Step4: Analyze (num > 15) AND (num = 15)

The logical AND operation. \(num>15\) and \(num = 15\) cannot be True simultaneously. So this expression is always False and not equivalent to \(num\geq15\).

Answer:

A. NOT(num < 15), C. (num > 15) OR (num = 15)