Question

2. When is it important to use a strict inequality vs a non-strict inequality?

Answer 1

In mathematics, a strict inequality is used when the endpoints are not included in the solution set, while a non-strict inequality is used when the endpoints are included.

Step-by-step explanation:

In mathematics, it is important to use a strict inequality when the endpoints are not included in the solution set. This means that the values on the endpoints are not considered as possible solutions. On the other hand, a non-strict inequality is used when the endpoints are included in the solution set.

For example, consider the inequality: x > 5. This represents a strict inequality because the value 5 is not included as a solution. On the other hand, if we have the inequality x ≥ 5, this represents a non-strict inequality because the value 5 is included as a solution.

So, the decision to use a strict inequality or a non-strict inequality depends on whether or not the endpoints should be included in the solution set.

Answer 2

A strict inequality is one which involves the use of

`>\text{, }<\text{ or }\\e`

A non-strict inequality is one which involves the use of

`\ge\text{ or }\leq`

A strict inequality is used in a case when the two values being compared or related to one another cannot be equal to one another. That is, they are different.

A non-strict inequality is used in case when there is a possibility that the two values being compared can be equal to one another.