Which of the following expressions correctly determines that x is greater than 10 and less than 20?

Solution:

The question is based on inequalities and the way we represent them.

Given that x is greater than 10 and less than 20

x > 10 and x < 20

10 < x  and in turn x < 20

10 < x < 20

x can be any real number between 10 and 20 with the endpoints excluded.

Thus, the inequality 10 < x < 20 determines that x is greater than 10 and less than 20.

Which of the following expressions correctly determines that x is greater than 10 and less than 20?

Summary:

The inequality 10 < x < 20 determines that x is greater than 10 and less than 20.