162k views
5 votes
A number is greater than 8. The same number is less than 10. The inequalities x greater-than 8 and x less-than 10 represent the situation. Which best explains the number of possible solutions to the inequality? There is one solution because 9 is the only number between 8 and 10. There are a three solutions because 8, 9, and 10 are possible solutions. There are a few solutions because there are some fractions and decimals between 8 and 10. There are infinite solutions because there is always another number between any two numbers.

2 Answers

3 votes

Answer:

D

Explanation:

Edge2022

User Kenza
by
2.9k points
7 votes

Answer:

(d) There are infinite solutions because there is always another number between any two numbers

Explanation:

The inequality 8 < n < 10 graphs as an open interval on the number line. Its graph is a line segment between 8 and 10, but not including those values.

Any line segment consists of an infinite number of points, and any two points on that segment will have an infinite number of points between them.

The inequality has an infinite number of solutions.

_____

Additional comment

The number of solutions will be finite if the solution set is restricted to specific values. For example, there is one integer in the solution range.

User Enigo
by
3.6k points