Answer:
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)
<em />
<em>Remember you can use any number between 12 and 17 but you </em>
<em>cannot use 12 or 17</em>