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kifflom [539]
3 years ago
5

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

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

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>

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