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Greg is thinking of a number n, and he wants his sister to guess the number. His first clue is that three less than two times his number is between five and seven. Write a compound inequality that shows the range of numbers that Greg might be thinking of.

Respuesta :

Markoxmara

Answer:

5<2n-3<7

Step-by-step explanation:

let the number be n

three less means-3 and two times means times two, so we have 3n-3

it says the number is between 5 and 7 and the way it is worded we can assume it does not include 5 and 7 which means we do not use less than or equal to instead we use less than

The compound inequality that shows the range of numbers that Greg might be thinking of is 5 < 2n - 3 < 7 .

How to frame the compound inequality from the statement given in the problem ?

The number is supposed to be n.

The clue given that three less than two times his number is between five and seven.

Therefore we form the inequality from the given statement -

Three less than two times number gives 3n - 2.

This number is between 5 and 7.  

= 5 < 2n - 3 < 7

= 8 < 2n < 10

= 4 < n < 5

Therefore the range of values of n is (4,5).  

To learn more about compound inequality, refer -

https://brainly.com/question/234674

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