Which is an illogical expression?Question 2Select one:a.x < 25 || x > 45b.x > 25 && x < 45c.x < 25 && x > 45d.x < 25 || x > 25

To determine which expression is illogical, let's analyze each option logically.

1. Option a: $x < 25 \, || \, x > 45$

   • This expression is true if $x$ is either less than 25 or greater than 45. It can be valid for values such as $x = 20$ or $x = 50$. Thus, it's not illogical.

2. Option b: x > 25 \, && \, x < 45

   • This expression requires $x$ to be between 25 and 45. It can be true for values such as $x = 30$ or $x = 40$. Hence, it's not illogical.

3. Option c: x < 25 \, && \, x > 45

   • This expression requires $x$ to be both less than 25 and greater than 45 simultaneously, which is impossible. Therefore, this expression is illogical.

4. Option d: $x < 25 \, || \, x > 25$

   • This expression states that $x$ is either less than 25 or greater than 25. This covers all possibilities except $x = 25$ itself, making it mostly logical in terms of its scope.

Final Answer

The illogical expression is Option c: x < 25 \, && \, x > 45 .