## Find a number so 56 divide n is greater than 1. But less than 7

Question

Find a number so 56 divide n is greater than 1. But less than 7

in progress 0
15 mins 2021-11-26T01:25:50+00:00 2 Answers 0

6 < n < 56

Step-by-step explanation:

Let’s translate that into a symbolic relationship:

1 < (56/n) < 7

This produces two inequalities to be solved:  1 < (56/n) and (56/n) < 7.

Dividing both sides of (56/n) < 7 by 7 results in (6/n) < 1

which can be rewritten as 6 < n or n > 6.

Multiplying both sides of 1 < (56/n) by n results in n < 56.

There’s no one solution.  Rather, the solution set is 6 < n < 56.

n = 9.33, 11.2, 14, 18.67, 28

Step-by-step explanation:

I’m assuming your problem is 1<56/n<7 and you are trying to find n.

To do this, figure out what numbers are less than 7 but greater than 1.

2, 3, 4, 5, and 6

You need 56/n to equal any of the numbers listed above. Lets start with 2.

2 = 56/n

2n = 56/n x n

2n = 56

2n/2 = 56/2

n = 28

Now 3.

3 = 56/n

3n = 56/n x n

3n = 56

3n/3 = 56/3

n = 18.67

Now 4.

4 = 56/n

4n = 56/n x n

4n = 56

4n/4 = 56/4

n = 14

Now 5.

5 = 56/n

5n = 56/n x n

5n = 56

5n/5 = 56/5

n = 11.2

Now 6.

6 = 56/n

6n = 56/n x n

6n = 56

6n/6 = 56/6

n = 9.33