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.
Our inequality is 8 < x < 10, where x is our number.
Since the problem doesn't specify whether the number x is an integer or not, we can assume that x can be either a decimal or a whole number. That means that we want any decimal number or whole number between 8 and 10. The only whole number is 9, but there are infinitely many decimal solutions. For example, we could have 8.001, 8.0001, 8.00001, etc.
