Which of the following is the correct expression thatevaluates to true if the number x is between 1 and 100 or thenumber is negative?
A. 1 B. ((x<100)&&(x>1)) | |(x<0)
C. ((x<100)&&(x>1)) &&(x<0)
D. (1>x>100) | | (x<0)

Respuesta :

Answer:

((x<100)&&(x>1)) | |(x<0)

Explanation:

The operator '&&' is a logical operator and is called AND operator. it is used in between the two Boolean expressions.

AND operator gives four possible output:

1. if the first expression is TRUE and second is TRUE, then the output will be TRUE.

2. if the first expression is TRUE and second is FALSE, then the output will be FALSE.

3. if the first expression is FALSE and second is TRUE, then the output will be FALSE.

4. if the first expression is FALSE and second is FALSE, then the output will be FALSE.

The operator '||' is also a logical operator and is called OR operator. it is used in between the two Boolean expressions.

OR operator also gives four possible output:

1. if the first expression is TRUE and second is TRUE, then the output will be TRUE.

2. if the first expression is TRUE and second is FALSE, then the output will be TRUE.

3. if the first expression is FALSE and second is TRUE, then the output will be TRUE.

4. if the first expression is FALSE and second is FALSE, then the output will be FALSE.

In the question, the statement is number x is between 1 and 100 or the number is negative.

let discuss the options:

option A. 1

this option is wrong, 1 is not a negative number.

option B.  ((x<100)&&(x>1)) | |(x<0)

if the  (x<100) and (x>1) is true then the number lies in between the 1 and 100.

or the expression (x<0) it means the number is negative. This is the correct option.

option C. ((x<100)&&(x>1)) &&(x<0)

The number lies between 1 and 100 is correct but the number must be negative. This is wrong. According to a statement, the number either between 1 and 100 or negative.

Option D: (1>x>100) | | (x<0)

This is invalid in programming.

Therefore, the correct option is B.

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