Question

What happens when dealing with inequalities in the form 0 < a < b?

a) It represents a range between a and b
b) It forms a closed interval between a and b
c) It indicates a strict inequality between a and b
d) It represents an open interval between a and b

Answer 1

The inequality form 0 < a < b represents a strict inequality between a and b, indicating an open interval that does not include the endpoints 0 and b.

Step-by-step explanation:

In the context of inequalities, if you have an inequality in the form 0 < a < b, this indicates a strict inequality between a and b. Therefore, the correct answer is (c) It indicates a strict inequality between a and b. This means that the value of a is greater than 0 and less than the value of b, and neither 0 nor b is included in the interval. Thus, it represents an open interval between a and b, where values are within the range but do not include the endpoints themselves. In contrast, a closed interval would include its endpoints.