Nine less than a number is between 3 and 8. Find the range of numbers that make this true.

The range of the numbers make this true is (12, 17)

Step-by-step explanation:

Lets explain how to solve the problem

The statement is:

→ Nine less than a number is between 3 and 8

Assume that the number is x

∵ The number is x

∴ Nine less than a umber is x - 9

→ The difference is between 3 and 8

∴ 3 < x - 9 < 8

∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8

Lets solve the inequality to find the range of x

∵ 3 < x - 9 < 8

Add 9 to each side

∴ 3 + 9 < x - 9 + 9 < 8 + 9

∴ 12 < x < 17

∵ There is no mention about the type of the number that is integer or

rational number or real number

∴ The range of x is any number between 12 and 17

The range of the numbers make this true is (12, 17)

Remember you can use any number between 12 and 17 but you

cannot use 12 or 17