Question

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?

Answer 1

Explanation:

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.

Answer 2

`x>8`

And the other inequality is:

`x <10`

If we use the two conditions we have :

`8< x< 10`

If we use only integers the only possible solution is x =9 and if x is a real number the solution can be infinite numbers between 8 and 9

Explanation:

For this case we define the number of interest as x and we have:

`x>8`

And the other inequality is:

`x <10`

If we use the two conditions we have :

`8< x< 10`

If we use only integers the only possible solution is x =9 and if x is a real number the solution can be infinite numbers between 8 and 9