Inequalities?

Question

What does: 7<3n<15 mean?

Answer 1

mean n between 7/3 and 5
7/3

Answer 2

There are two integer solutions:

n=3 (3n=9, 7<9<15)
n=4 (3n=12, 7<12<15)

Answer 3

You probably have to figure out what n can equal.

7 < 3n < 15
This means that 7 is less than 3n and 3n is less than 15.

If you divide everything by 3, you get
7/3 < n < 15/3

This means that 7/3 is less than n and n is less than 15/3.

In other words, you know that n is between 7/3 and 15/3.

I hope that helps.

Answer 4

Look at double inequalities like this: break it up into two...
7<3n
3n<15

It means the set of numbers in which 7 is less than 3n AND 3n is less than 15

then you can solve each one separately.
7<3n
7/3
3n<15
n<5.

Put them together an it is the set of numbers which n is greater than 7/3 or less than 5.

To check your answer, pick a number between 7/3 and 5 and plug it back in.

Answer 5

The n is a variable that when found, is multiplied by the 3. The equation is stating that 7 is less than 3n (3 times the value of n) and 15 is greater than 3n.

Answer 6

7<3n<15
It means that the value of 3n is greater than 7 but less than 15.
If you divide all terms by 3 you get:
7/3 This tells you that value of n is greater than 7/3 but less than 5.
The value of n is restricted to lie between 7/3 and 5.
n cannot be equal to 5 or greater than 5.
n cannot = 7/3 or be less than 7/3

Answer 7

It means that 3n > 7 AND 3n < 15.

Answer 8

7 is less than 3n but 3n is less than 15

Answer 9

7<3n<15
divide all terms by 3
7/3 that means any number that is more than 7/3 and less than 3 is the solution

Answer 10

7 < 3n < 15

The character < means is less than

7 < 3n, means 7 is less than 3n

3n < 17, means 3n is less than 15

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